[ms-rdprfx]: remote desktop protocol: remotefx codec …... · 2016. 6. 22. · programming...

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[MS-RDPRFX] — v20140502 Remote Desktop Protocol: RemoteFX Codec Extension Copyright © 2014 Microsoft Corporation. Release: Thursday, May 15, 2014

[MS-RDPRFX]: Remote Desktop Protocol: RemoteFX Codec Extension

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Revision Summary

Date

Revision

History

Revision

Class Comments

04/23/2010 0.1 Major First Release.

06/04/2010 1.0 Major Updated and revised the technical content.

07/16/2010 1.0 No change No changes to the meaning, language, or formatting of

the technical content.

08/27/2010 2.0 Major Significantly changed the technical content.





















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Contents

1 Introduction ............................................................................................................. 6 1.1 Glossary ............................................................................................................... 6 1.2 References ............................................................................................................ 6

1.2.1 Normative References ....................................................................................... 6 1.2.2 Informative References ..................................................................................... 7

1.3 Protocol Overview (Synopsis) .................................................................................. 7 1.3.1 RemoteFX Codec .............................................................................................. 7

1.3.1.1 Message Flows ........................................................................................... 8 1.4 Relationship to Other Protocols .............................................................................. 10 1.5 Prerequisites/Preconditions ................................................................................... 10 1.6 Applicability Statement ......................................................................................... 11 1.7 Versioning and Capability Negotiation ..................................................................... 11 1.8 Vendor-Extensible Fields ....................................................................................... 11 1.9 Standards Assignments ........................................................................................ 11

2 Messages................................................................................................................ 12 2.1 Transport ............................................................................................................ 12 2.2 Message Syntax .................................................................................................. 12

2.2.1 Capabilities Messages ..................................................................................... 12 2.2.1.1 TS_RFX_CLNT_CAPS_CONTAINER .............................................................. 12

2.2.1.1.1 TS_RFX_CAPS..................................................................................... 13 2.2.1.1.1.1 TS_RFX_CAPSET ........................................................................... 13

2.2.1.1.1.1.1 TS_RFX_ICAP .......................................................................... 14 2.2.1.2 TS_RFX_SRVR_CAPS_CONTAINER .............................................................. 15 2.2.1.3 TS_FRAME_ACKNOWLEDGE_CAPABILITYSET ............................................... 15

2.2.2 Encode Messages ........................................................................................... 16 2.2.2.1 Common Data Types ................................................................................. 16

2.2.2.1.1 TS_RFX_BLOCKT ................................................................................. 16 2.2.2.1.2 TS_RFX_CODEC_CHANNELT ................................................................. 17 2.2.2.1.3 TS_RFX_CHANNELT ............................................................................. 18 2.2.2.1.4 TS_RFX_CODEC_VERSIONT .................................................................. 18 2.2.2.1.5 TS_RFX_CODEC_QUANT ...................................................................... 18 2.2.2.1.6 TS_RFX_RECT ..................................................................................... 19

2.2.2.2 Encode Header Messages ........................................................................... 20 2.2.2.2.1 TS_RFX_SYNC .................................................................................... 20 2.2.2.2.2 TS_RFX_CODEC_VERSIONS ................................................................. 20 2.2.2.2.3 TS_RFX_CHANNELS ............................................................................. 21 2.2.2.2.4 TS_RFX_CONTEXT ............................................................................... 21

2.2.2.3 Encode Data Messages .............................................................................. 22 2.2.2.3.1 TS_RFX_FRAME_BEGIN ........................................................................ 22 2.2.2.3.2 TS_RFX_FRAME_END ........................................................................... 23 2.2.2.3.3 TS_RFX_REGION ................................................................................. 23 2.2.2.3.4 TS_RFX_TILESET ................................................................................ 24

2.2.2.3.4.1 TS_RFX_TILE ................................................................................ 26 2.2.3 Control Messages ........................................................................................... 27

2.2.3.1 TS_FRAME_ACKNOWLEDGE_PDU ................................................................ 27

3 Protocol Details ...................................................................................................... 30 3.1 Common Details .................................................................................................. 30

3.1.1 Abstract Data Model ....................................................................................... 30

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3.1.1.1 State Machine .......................................................................................... 30 3.1.2 Timers .......................................................................................................... 32 3.1.3 Initialization .................................................................................................. 32 3.1.4 Higher-Layer Triggered Events ......................................................................... 32 3.1.5 Processing Events and Sequencing Rules ........................................................... 32

3.1.5.1 Processing the TS_RFX_CLNT_CAPS_CONTAINER Message ............................ 33 3.1.6 Timer Events ................................................................................................. 33 3.1.7 Other Local Events ......................................................................................... 33 3.1.8 RemoteFX Algorithm ....................................................................................... 33

3.1.8.1 Encoding ................................................................................................. 33 3.1.8.1.1 Input Tiling......................................................................................... 34 3.1.8.1.2 Differencing (Optional)......................................................................... 34 3.1.8.1.3 Color Conversion (RGB to YCbCr) .......................................................... 34 3.1.8.1.4 DWT .................................................................................................. 35 3.1.8.1.5 Quantization ....................................................................................... 36 3.1.8.1.6 Linearization ....................................................................................... 37 3.1.8.1.7 RLGR Entropy Encoding ....................................................................... 38

3.1.8.1.7.1 RLGR1 ......................................................................................... 38 3.1.8.1.7.2 RLGR3 ......................................................................................... 39 3.1.8.1.7.3 RLGR1/RLGR3 Pseudocode ............................................................. 39

3.1.8.1.7.3.1 RLGR1/RLGR3 Decode .............................................................. 39 3.1.8.1.7.3.2 RLGR1/RLGR3 Encode .............................................................. 43

3.1.8.2 Decoding ................................................................................................. 47 3.1.8.2.1 RLGR Entropy Decoding ....................................................................... 47 3.1.8.2.2 Sub-Band Reconstruction ..................................................................... 47 3.1.8.2.3 Dequantization ................................................................................... 47 3.1.8.2.4 Inverse DWT ...................................................................................... 48 3.1.8.2.5 Color Conversion (YCbCr to RGB) .......................................................... 48 3.1.8.2.6 Reconstructed Frame ........................................................................... 48

3.1.8.3 RemoteFX Stream..................................................................................... 48 3.1.8.3.1 Encode Message Sequencing ................................................................ 48

4 Protocol Examples .................................................................................................. 51 4.1 Sample Use Case ................................................................................................. 51 4.2 Annotated RemoteFX Messages ............................................................................. 52

4.2.1 Capabilities Messages ..................................................................................... 52 4.2.2 Encode Header Messages ................................................................................ 53 4.2.3 Encode Data Messages .................................................................................... 54 4.2.4 Sample Decode Data Flow Sequence................................................................. 57

4.2.4.1 Input TS_RFX_TILESET Message ................................................................ 57 4.2.4.2 Entropy Decoded Data............................................................................... 61

4.2.4.2.1 Y Component Data .............................................................................. 62 4.2.4.2.2 Cb Component Data ............................................................................ 66 4.2.4.2.3 Cr Component Data ............................................................................. 71

4.2.4.3 Inverse Quantization/DWT ......................................................................... 75 4.2.4.3.1 Level 3 Sub-bands ............................................................................... 75

4.2.4.3.1.1 LL3 .............................................................................................. 75 4.2.4.3.1.2 HL3 ............................................................................................. 76 4.2.4.3.1.3 LH3 ............................................................................................. 76 4.2.4.3.1.4 HH3 ............................................................................................. 76 4.2.4.3.1.5 Inverse DWT-X (LL3 - HL3) ............................................................. 77 4.2.4.3.1.6 Inverse DWT-X (LH3 – HH3) ........................................................... 77 4.2.4.3.1.7 Inverse DWT-Y (L2 – H2) ............................................................... 77

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4.2.4.3.2 Level 2 Sub-bands ............................................................................... 78 4.2.4.3.2.1 LL2 .............................................................................................. 78 4.2.4.3.2.2 HL2 ............................................................................................. 78 4.2.4.3.2.3 LH2 ............................................................................................. 79 4.2.4.3.2.4 HH2 ............................................................................................. 80 4.2.4.3.2.5 Inverse DWT-X (LL2 – HL2) ............................................................ 80 4.2.4.3.2.6 Inverse DWT-X (LH2 - HH2)............................................................ 82 4.2.4.3.2.7 Inverse DWT-Y (L1 – H1) ............................................................... 83

4.2.4.3.3 Level 1 Sub-bands ............................................................................... 85 4.2.4.3.3.1 LL1 .............................................................................................. 85 4.2.4.3.3.2 HL1 ............................................................................................. 85 4.2.4.3.3.3 LH1 ............................................................................................. 88 4.2.4.3.3.4 HH1 ............................................................................................. 90 4.2.4.3.3.5 Inverse DWT-X (LL1 - HL1) ............................................................. 92 4.2.4.3.3.6 Inverse DWT-X (LH1 - HH1)............................................................ 97 4.2.4.3.3.7 Inverse DWT-Y (L0 – H0) .............................................................. 101

4.2.4.3.4 Reconstructed Y Component ................................................................ 110 4.2.4.3.5 Reconstructed Cb Component .............................................................. 110 4.2.4.3.6 Reconstructed Cr Component............................................................... 119

4.2.4.4 Inverse Color Conversion .......................................................................... 128 4.2.4.5 Decoded Image ....................................................................................... 137

5 Security ................................................................................................................ 138 5.1 Security Considerations for Implementers .............................................................. 138 5.2 Index of Security Parameters ............................................................................... 138

6 Appendix A: Product Behavior .............................................................................. 139

7 Change Tracking................................................................................................... 140

8 Index ................................................................................................................... 141

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1 Introduction

The Remote Desktop Protocol: RemoteFX Codec Extension is an extension to the Remote Desktop Protocol: Basic Connectivity and Graphics Remoting (as specified in [MS-RDPBCGR]). The RemoteFX Codec Extension specifies a lossy image codec that can be used to encode screen images by using efficient and effective compression.

Sections 1.8, 2, and 3 of this specification are normative and can contain the terms MAY, SHOULD, MUST, MUST NOT, and SHOULD NOT as defined in RFC 2119. Sections 1.5 and 1.9 are also normative but cannot contain those terms. All other sections and examples in this specification are

informative.

1.1 Glossary

The following terms are defined in [MS-GLOS]:

little-endian

The following terms are specific to this document:

blit: Also known as block image transfer. An operation in which a rectangular block of pixels in a source image is copied onto a destination image.

discrete wavelet transform (DWT): A discrete wavelet transform is a mathematical procedure that can be used to derive a discrete representation of a signal.

entropy coding: A lossless data compression scheme used to generate compression codes for input symbols based on their statistical properties.

quantization: A technique used to reduce a range of values to a single representative value.

tile-based transform: A transform technique in which an input image is segmented into a grid

of disjoint tiles and the transform is then applied separately to each individual tile.

YCbCr color space: A color space where each color is represented as a triplet (Y,Cb,Cr), where Y stands for the Luma (brightness) component and Cb,Cr stand for the two Chroma (color) components.

MAY, SHOULD, MUST, SHOULD NOT, MUST NOT: These terms (in all caps) are used as

described in [RFC2119]. All statements of optional behavior use either MAY, SHOULD, or SHOULD NOT.

1.2 References

References to Microsoft Open Specifications documentation do not include a publishing year because links are to the latest version of the documents, which are updated frequently. References to other documents include a publishing year when one is available.

1.2.1 Normative References

We conduct frequent surveys of the normative references to assure their continued availability. If you have any issue with finding a normative reference, please contact [email protected]. We will assist you in finding the relevant information.

%5bMS-RDPBCGR%5d.pdf

%5bMS-GLOS%5d.pdf


mailto:[email protected]

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[ARLGR] Malvar, H.S., "Adaptive Run-Length / Golomb-Rice Encoding of Quantized Generalized Gaussian Sources with Unknown Statistics", Proceedings of the Data Compression Conference, 2006

(DCC 2006) pp. 23 - 32, March 2006, http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1607237

[MS-RDPBCGR] Microsoft Corporation, "Remote Desktop Protocol: Basic Connectivity and Graphics Remoting".

[RFC2119] Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, March 1997, http://www.rfc-editor.org/rfc/rfc2119.txt

[T123] ITU-T, "Network-Specific Data Protocol Stacks for Multimedia Conferencing", Recommendation T.123, May 1999, http://www.itu.int/rec/T-REC-T.123/en

Note There is a charge to download the specification.

[T125] ITU-T, "Multipoint Communication Service Protocol Specification", Recommendation T.125, February 1998, http://www.itu.int/rec/T-REC-T.125-199802-I/en


[X224] ITU-T, "Information technology - Open Systems Interconnection - Protocol for Providing the Connection-Mode Transport Service", Recommendation X.224, November 1995, http://www.itu.int/rec/T-REC-X.224-199511-I/en


1.2.2 Informative References

[MS-GLOS] Microsoft Corporation, "Windows Protocols Master Glossary".

1.3 Protocol Overview (Synopsis)

The Remote Desktop Protocol: RemoteFX Codec Extension reduces the bandwidth associated with

desktop remoting by efficiently compressing images. This is achieved by using the RemoteFX codec. The following sections provide an overview of this codec.

1.3.1 RemoteFX Codec

One of the core requirements of desktop remoting is the ability to efficiently compress server-side screen images so that they can be transported over a network and displayed on a client screen. Any codec used for this purpose needs to be able to deliver effective compression (to reduce network

bandwidth requirements) and operate with low-latency (to enable efficient interactions with remoted content). A typical desktop screen contains textual content (synthetic images) along with video and photographic content (natural images). Given the sensitivity of the human eye to the sharp features present in textual content, any applied compression has to be visually lossless; otherwise the text will appear blurred.

The RemoteFX codec has been designed to achieve efficient compression, satisfying the goals of

high quality and low latency while using a modest amount of computing resources. It is a tile-

based transform codec. The transform chosen was a discrete wavelet transform (DWT) because it enables superior compression performance when compressing textual bitmap regions at high quality. The entropy coding is performed using the Run-Length Golomb-Rice Coder (RLGR) ([ARLGR] section 3), which yields compression gains at relatively low computing requirements. The core functional blocks of the RemoteFX codec are shown in the following diagram.








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Figure 1: Core functional blocks of the RemoteFX codec

1.3.1.1 Message Flows

RemoteFX codec messages must be transported in order over a lossless transport such as TCP/IP. The message syntax has been designed with this prerequisite.

There are two types of messages: (1) capability messages sent from the client to the server; and (2) encode stream messages sent from the server to the client. The encode stream messages can

be broadly categorized as header or data messages. The syntax of each message is described in detail in section 2. Processing events and sequencing rules are described in section 3.

The message sequence is depicted in the following diagram. Note that the messages in this diagram are encapsulated in RDP wire structures (described in [MS-RDPBCGR] section 2.2) when sent on the wire – for the sake of simplicity only the RemoteFX messages are shown. The encapsulating RDP structures are referenced in sections 2 and 3 when describing the structure and processing of the

RemoteFX messages.


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Figure 2: The RemoteFX message sequence

The client initiates the session by sending a TS_RFX_CAPS Capabilities message (section 2.2.1.1). This is the only message sent from the client to the server; it lists the client-side support and preferences for various RemoteFX codec properties.

The server initializes its encoding state based on the client Capabilities message. It starts the encoding stream (section 2.2.2) by sending a sequence of Header Messages (section 2.2.2.2) that

inform the client of the RemoteFX properties selected by the server:

1. The TS_RFX_SYNC message (section 2.2.2.2.1) contains the RemoteFX magic number and the

version of the wire format.

2. The TS_RFX_CODEC_VERSIONS message (section 2.2.2.2.2) contains the version of the RemoteFX codec.

3. The TS_RFX_CHANNELS message (section 2.2.2.2.3) lists the channel or multi-monitor

information.

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4. The TS_RFX_CONTEXT message (section 2.2.2.2.4) contains the encoding properties of the stream.

The header messages are followed by the Data messages (section 2.2.2.3), which represent the sequence of encoded frames in the stream:

1. The TS_RFX_FRAME_BEGIN and TS_RFX_FRAME_END messages (sections 2.2.2.3.1 and 2.2.2.3.2 respectively) are used to demarcate an encoded frame.

2. The TS_RFX_REGION message (section 2.2.2.3.3) contains the list of rectangles that have been encoded.

3. The TS_RFX_TILESET message (section 2.2.2.3.4) encapsulates the list of tiles that have been encoded.

1.4 Relationship to Other Protocols

This protocol extends the Remote Desktop Protocol: Basic Connectivity and Graphics Remoting [MS-

RDPBCGR] by adding advanced compression techniques.

1.5 Prerequisites/Preconditions

The following capabilities are mandatory when used with RemoteFX:

The client MUST support fast-path graphics output ([MS-RDPBCGR] section 2.2.9.1.2) and

acknowledge this support by specifying the FASTPATH_OUTPUT_SUPPORTED (0x0001) flag in the General Capability Set ([MS-RDPBCGR] section 2.2.7.1.1).

The client MUST send the Multifragment Update Capability Set ([MS-RDPBCGR] section

2.2.7.2.6). The MaxRequestSize field in the client-to-server Multifragment Update Capability Set MUST be set to a value greater than or equal to the value in the MaxRequestSize field of

the server-to-client Multifragment Update Capability Set. The client-to-server Multifragment Update Capability Set is transported in the Confirm Active PDU as specified in [MS-RDPBCGR] section 2.2.1.13.2, and the server-to-client Multifragment Update Capability Set is transported in

the Demand Active PDU as specified in [MS-RDPBCGR] section 2.2.1.13.1.

The client MUST send the Large Pointer Capability Set ([MS-RDPBCGR] section 2.2.7.2.7) and the

LARGE_POINTER_FLAG_96x96 (0x00000001) MUST be present in the

largePointerSupportFlags field.

If the Revision 2 Bitmap Cache Capability Set ([MS-RDPBCGR] section 2.2.7.1.4.2) is sent by the

client, then the ALLOW_CACHE_WAITING_LIST_FLAG (0x0002) MUST be present in the CacheFlags field.

The client MUST support the Stream Surface Bits Surface Command ([MS-RDPBCGR] section

2.2.9.2.2). Support for this surface command MUST be advertised in the Surface Commands

Capability Set ([MS-RDPBCGR] section 2.2.7.2.9).

The client MUST support a color depth of 32 bits per pixel. This means that the

RNS_UD_32BPP_SUPPORT (0x0008) flag must be set in the supportedColorDepths field of the

Client Core Data structure ([MS-RDPBCGR] section 2.2.1.3.2).

The TS_FRAME_ACKNOWLEDGE_CAPABILITYSET (section 2.2.1.3) SHOULD<1> be sent by the client. Furthermore, if the connectionType field of the Client Core Data ([MS-RDPBCGR] section

2.2.1.3.2) is set to any value other than CONNECTION_TYPE_LAN (0x06), then the RemoteFX server SHOULD NOT<2> indicate that the RemoteFX codec is supported, that is, none of the
























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TS_BITMAPCODEC ([MS-RDPBCGR] section 2.2.7.2.10.1.1) structures included in the bitmapCodecArray field of the TS_BITMAPCODECS ([MS-RDPBCGR] section 2.2.7.2.10) structure

have the codecGUID field set to CODEC_GUID_REMOTEFX.

1.6 Applicability Statement

This protocol is applicable in situations in which it is necessary to optimize the bandwidth required for graphics remoting. The advanced compression techniques specified in this document enable the efficient transfer of server-side images and video.

1.7 Versioning and Capability Negotiation

This protocol builds on the basic Remote Desktop Protocol [MS-RDPBCGR]. The features provided by

this extension are negotiated during the capabilities negotiation phase of the RDP connection sequence (see [MS-RDPBCGR] section 1.3.1.1). In effect, this extension merely expands the set of capabilities used by the base RDP. (RDP versioning and capability negotiation is described in [MS-RDPBCGR] section 1.7.)

Some capabilities, which are specified as optional in [MS-RDPBCGR] section 2.2.7.2, are mandatory when used with RemoteFX. These capabilities are described in detail in section 2.1.

1.8 Vendor-Extensible Fields

None.

1.9 Standards Assignments

None.










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2 Messages

2.1 Transport

This protocol is an extension to the Remote Desktop Protocol: Basic Connectivity and Graphics Remoting Specification and all packets are tunneled within the RDP transport ([MS-RDPBCGR] section 2.1).

2.2 Message Syntax

All multiple-byte fields within a message MUST be marshaled in little-endian byte order, unless otherwise specified.

2.2.1 Capabilities Messages

2.2.1.1 TS_RFX_CLNT_CAPS_CONTAINER

The TS_RFX_CLNT_CAPS_CONTAINER structure is the top-level client capability container that

wraps a TS_RFX_CAPS (section 2.2.1.1.1) structure and is sent from the client to the server. It is encapsulated in the codecProperties field of the Bitmap Codec ([MS-RDPBCGR] section 2.2.7.2.10.1.1) structure, which is ultimately encapsulated in the Bitmap Codecs Capability Set ([MS-RDPBCGR] section 2.2.7.2.10), which is encapsulated in a client-to-server Confirm Active PDU ([MS-RDPBCGR] section 2.2.1.13.2).

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captureFlags

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capsData (variable)

...

length (4 bytes): A 32-bit, unsigned integer. Specifies the combined size, in bytes, of the length, captureFlags, capsLength, and capsData fields.

captureFlags (4 bytes): A 32-bit, unsigned integer. A collection of flags that allow a client to control how data is captured and transmitted by the server.

Flag Meaning

CARDP_CAPS_CAPTURE_NON_CAC

0x00000001

The client supports mixing RemoteFX data with data

compressed by other codecs. The set of other codecs

supported by the client will be negotiated using the Bitmap

Codecs Capability Set ([MS-RDPBCGR] section 2.2.7.2.10).




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capsLength (4 bytes): A 32-bit, unsigned integer. Specifies the size, in bytes, of the capsData field.

capsData (variable): A variable-sized field that contains a TS_RFX_CAPS (section 2.2.1.1.1) structure.

2.2.1.1.1 TS_RFX_CAPS

The TS_RFX_CAPS structure contains information about the decoder capabilities.

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capsetsData (variable)

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blockType (2 bytes): A 16-bit, unsigned integer. Specifies the data block type. This field MUST be set to CBY_CAPS (0xCBC0).

blockLen (4 bytes): A 32-bit, unsigned integer. Specifies the combined size, in bytes, of the blockType, blockLen, and numCapsets fields. This field MUST be set to 0x0008.

numCapsets (2 bytes): A 16-bit, unsigned integer. Specifies the number of TS_RFX_CAPSET (section 2.2.1.1.1.1) structures contained in the capsetsData field. This field MUST be set to 0x0001.

capsetsData (variable): A variable-sized array of TS_RFX_CAPSET (section 2.2.1.1.1.1) structures. The structures in this array MUST be packed on byte boundaries. The blockType and blockLen fields of each TS_RFX_CAPSET structure identify the type and size of the

structure.

2.2.1.1.1.1 TS_RFX_CAPSET

The TS_RFX_CAPSET structure contains the capability information specific to the RemoteFX codec. It contains a variable number of TS_RFX_ICAP (section 2.2.1.1.1.1.1) structures that are used to configure the encoder state.

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... icapsData (variable)

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blockType (2 bytes): A 16-bit, unsigned integer. Specifies the data block type. This field MUST be set to CBY_CAPSET (0xCBC1).

blockLen (4 bytes): A 32-bit, unsigned integer. Specifies the combined size, in bytes, of the

blockType, blockLen, codecId, capsetType, numIcaps, icapLen, and icapsData fields.

codecId (1 byte): An 8-bit, unsigned integer. Specifies the codec ID. This field MUST be set to 0x01.

capsetType (2 bytes): A 16-bit, unsigned integer. This field MUST be set to CLY_CAPSET (0xCFC0).

numIcaps (2 bytes): A 16-bit, unsigned integer. The number of TS_RFX_ICAP structures

contained in the icapsData field.

icapLen (2 bytes): A 16-bit, unsigned integer. Specifies the size, in bytes, of each TS_RFX_ICAP structure contained in the icapsData field.

icapsData (variable): A variable-length array of TS_RFX_ICAP (section 2.2.1.1.1.1.1) structures. Each structure MUST be packed on byte boundaries. The size of each TS_RFX_ICAP structure within the array is specified in the icapLen field.

2.2.1.1.1.1.1 TS_RFX_ICAP

The TS_RFX_ICAP structure specifies the set of codec properties that the decoder supports.

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version tileSize

flags colConvBits transformBits entropyBits

version (2 bytes): A 16-bit, unsigned integer. Specifies the codec version. This field MUST be set to CLW_VERSION_1_0 (0x0100), to indicate protocol version 1.0.

tileSize (2 bytes): A 16-bit, signed integer. Specifies the width and height of a tile. This field MUST be set to CT_TILE_64x64 (0x0040), indicating that a tile is 64 x 64 pixels.

flags (1 byte): An 8-bit, unsigned integer. Specifies operational flags.

Flag Meaning

CODEC_MODE

0x02

When this flag is set, it indicates that only image mode is supported by the

decoder, and therefore, the codec MUST operate in image mode. When this flag is

not set, it indicates that both the image mode and the video mode of the codec

are supported by the decoder and the codec MUST operate in video mode.

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When operating in image mode, the encode headers messages (section 2.2.2.2) MUST always precede an encoded frame. When operating in video mode, the header messages MUST be

present at the beginning of the stream and are optional elsewhere.

colConvBits (1 byte): An 8-bit, unsigned integer. Specifies the color conversion transform.

This field MUST be set to CLW_COL_CONV_ICT (0x1), and the transformation is by the equations in sections 3.1.8.1.3 and 3.1.8.2.5.

transformBits (1 byte): An 8-bit, unsigned integer. Specifies the DWT. This field MUST be set to CLW_XFORM_DWT_53_A (0x1), the DWT transform given by the lifting equations for the DWT shown in section 3.1.8.1.4 and by the lifting equations for the inverse DWT shown in section 3.1.8.2.4.

entropyBits (1 byte): An 8-bit, unsigned integer. Specifies the entropy algorithm. This field

MUST be set to one of the following values.

Value Meaning

CLW_ENTROPY_RLGR1

0x01

RLGR algorithm as described in 3.1.8.1.7.1.

CLW_ENTROPY_RLGR3

0x04

RLGR algorithm as described in section 3.1.8.1.7.2.

2.2.1.2 TS_RFX_SRVR_CAPS_CONTAINER

The TS_RFX_SRVR_CAPS_CONTAINER structure is the top-level server capability container, which is sent from the server to the client. It is encapsulated in the codecProperties field of the Bitmap Codec structure ([MS-RDPBCGR] section 2.2.7.2.10.1.1), which is ultimately encapsulated in the Bitmap Codecs Capability Set ([MS-RDPBCGR] section 2.2.7.2.10). The Bitmap Codecs Capability Set is encapsulated in a server-to-client Demand Active PDU ([MS-RDPBCGR] section 2.2.1.13.1).

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reserved (variable)

...

reserved (variable): A variable-sized array of bytes. All the bytes in this field MUST be set to 0. The size of the field is given by the corresponding codecPropertiesLength field of the

parent TS_BITMAPCODEC, as specified in [MS-RDPBCGR] section 2.2.7.2.10.1.1 Bitmap Codecs Capability Set.

2.2.1.3 TS_FRAME_ACKNOWLEDGE_CAPABILITYSET

The TS_FRAME_ACKNOWLEDGE_CAPABILITYSET structure advertises support for frame

acknowledgment using the TS_FRAME_ACKNOWLEDGE_PDU (section 2.2.3.1) structure. This

capability is sent by both the client and the server and is encapsulated in a server-to-client Demand Active PDU ([MS-RDPBCGR] section 2.2.1.13.1) or a client-to-server Confirm Active PDU ([MS-RDPBCGR] section 2.2.1.13.2).












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capabilitySetType lengthCapability

maxUnacknowledgedFrameCount

capabilitySetType (2 bytes): A 16-bit unsigned integer. The type of capability set. This field MUST be set to CAPSETTYPE_FRAME_ACKNOWLEDGE (0x001E).

lengthCapability (2 bytes): A 16-bit unsigned integer. The length, in bytes, of the capability data.

maxUnacknowledgedFrameCount (4 bytes): A 32-bit unsigned integer. When sent by the server, it MAY be set to 0, in which case it simply advertises the server's ability to receive and process the TS_FRAME_ACKNOWLEDGE_PDU (section 2.2.3.1). If it is not set to 0, it can be

used by the client as a hint that indicates the number of in-flight TS_FRAME_ACKNOWLEDGE_PDUs that the server is prepared to accept. When sent by the client, it provides a hint to the server as to how many in-flight frames the client can buffer. Note that if the server chooses to have more in-flight frames than this number specifies, it is

possible that the client could be overloaded with frame data. The client MAY set this field to 0, but this behavior SHOULD be avoided because it provides very little information to the server other than that the client acknowledges frames.

2.2.2 Encode Messages

An encoded RemoteFX stream comprises a sequence of encode messages. The sequencing and

encapsulation of these messages are described in section 3.1.8.3.1.

2.2.2.1 Common Data Types

2.2.2.1.1 TS_RFX_BLOCKT

The TS_RFX_BLOCKT structure identifies the type of an encode message and specifies the size of the message.

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blockType (2 bytes): A 16-bit, unsigned integer. Specifies the data block type. This field MUST be set to one of the following values.

Value Meaning

CBT_TILE

0xCAC3

A TS_RFX_TILE (section 2.2.2.3.4.1) structure.

CBY_CAPS A TS_RFX_CAPS (2.2.1.1.1) structure.

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Value Meaning

0xCBC0

CBY_CAPSET

0xCBC1

A TS_RFX_CAPSET (2.2.1.1.1.1) structure.

WBT_SYNC

0xCCC0

A TS_RFX_SYNC (section 2.2.2.2.1) structure.

WBT_CODEC_VERSIONS

0xCCC1

A TS_RFX_CODEC_VERSIONS (section 2.2.2.2.2) structure.

WBT_CHANNELS

0xCCC2

A TS_RFX_CHANNELS (section 2.2.2.2.3) structure.

blockLen (4 bytes): A 32-bit, unsigned integer. Specifies the size, in bytes, of the data block. This size includes the size of the blockType and blockLen fields, as well as all trailing data.

2.2.2.1.2 TS_RFX_CODEC_CHANNELT

The TS_RFX_CODEC_CHANNELT structure is an extension of the TS_RFX_BLOCKT structure. It is present as the first field in messages that are targeted for a specific combination of codec and

channel.

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blockType blockLen

... codecId channelId

blockType (2 bytes): A 16-bit, unsigned integer. Specifies the data block type. This field MUST be set to one of the following values.

Value Meaning

WBT_CONTEXT

0xCCC3

A TS_RFX_CONTEXT (section 2.2.2.2.4) structure.

WBT_FRAME_BEGIN

0xCCC4

A TS_RFX_FRAME_BEGIN (section 2.2.2.3.1) structure.

WBT_FRAME_END

0xCCC5

A TS_RFX_FRAME_END (section 2.2.2.3.2) structure.

WBT_REGION

0xCCC6

A TS_RFX_REGION (section 2.2.2.3.3) structure.

WBT_EXTENSION

0xCCC7

A TS_RFX_TILESET (section 2.2.2.3.4) structure.

blockLen (4 bytes): A 32-bit, unsigned integer. Specifies the size, in bytes, of the data block. This size includes the size of the blockType, blockLen, codecId, and channelId fields, as well as all trailing data.

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codecId (1 byte): An 8-bit, unsigned integer. Specifies the codec ID. This field MUST be set to 0x01.

channelId (1 byte): An 8-bit, unsigned integer. Specifies the channel ID. If the blockType is set to WBT_CONTEXT (0xCCC3), then channelId MUST be set to 0xFF. For all other values of

blockType, channelId MUST be set to 0x00.

2.2.2.1.3 TS_RFX_CHANNELT

The TS_RFX_CHANNELT structure is used to specify the screen resolution of a channel.

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channelId width height

...

channelId (1 byte): An 8-bit, unsigned integer. Specifies the identifier of the channel. This field MUST be set to 0x00.

width (2 bytes): A 16-bit, signed integer. Specifies the frame width of the channel. This field

SHOULD<3> be within the range of 1 to 4096 (inclusive).

height (2 bytes): A 16-bit, signed integer. Specifies the frame height of the channel. This field SHOULD<4> be within the range of 1 to 2048 (inclusive).

2.2.2.1.4 TS_RFX_CODEC_VERSIONT

The TS_RFX_CODEC_VERSIONT structure is used to specify support for a specific version of the

RemoteFX codec.

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codecId version

codecId (1 byte): An 8-bit, unsigned integer. Specifies the codec ID. This field MUST be set to 0x01. The decoder SHOULD ignore this field.

version (2 bytes): A 16-bit, signed integer. This field MUST be set to 0x0100. The decoder

SHOULD ignore this field.

2.2.2.1.5 TS_RFX_CODEC_QUANT

The TS_RFX_CODEC_QUANT structure holds the scalar quantization values for the ten sub-bands

in the 3-level DWT decomposition. Each field in this structure MUST have a value in the range of 6 to 15.

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LL3 LH3 HL3 HH3 LH2 HL2 HH2 LH1

HL1 HH1

LL3 (4 bits): A 4-bit, unsigned integer. The LL quantization factor for the level-3 DWT sub-band.

LH3 (4 bits): A 4-bit, unsigned integer. The LH quantization factor for the level-3 DWT sub-band.

HL3 (4 bits): A 4-bit, unsigned integer. The HL quantization factors for the level-3 DWT sub-band.

HH3 (4 bits): A 4-bit, unsigned integer. The HH quantization factors for the level-3 DWT sub-band.

LH2 (4 bits): A 4-bit, unsigned integer. The LH quantization factor for the level-2 DWT sub-band.

HL2 (4 bits): A 4-bit, unsigned integer. The HL quantization factor for the level-2 DWT sub-

band.

HH2 (4 bits): A 4-bit, unsigned integer. The HH quantization factor for the level-2 DWT sub-band.

LH1 (4 bits): A 4-bit, unsigned integer. The LH quantization factors for the level-1 DWT sub-band.

HL1 (4 bits): A 4-bit, unsigned integer. The HL quantization factors for the level-1 DWT sub-

band.

HH1 (4 bits): A 4-bit, unsigned integer. The HH quantization factor for the level-1 DWT sub-band.

2.2.2.1.6 TS_RFX_RECT

The TS_RFX_RECT structure is used to specify a rectangle.

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width height

x (2 bytes): A 16-bit, unsigned integer. The X-coordinate of the rectangle.

y (2 bytes): A 16-bit, unsigned integer. The Y-coordinate of the rectangle.

width (2 bytes): A 16-bit, unsigned integer. The width of the rectangle.

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height (2 bytes): A 16-bit, unsigned integer. The height of the rectangle.

2.2.2.2 Encode Header Messages

2.2.2.2.1 TS_RFX_SYNC

The TS_RFX_SYNC message MUST be the first message in any encoded stream. The decoder MUST examine this message to determine whether the protocol version is supported.

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BlockT

... magic

... version

BlockT (6 bytes): A TS_RFX_BLOCKT (section 2.2.2.1.1) structure. The blockType field MUST be set to WBT_SYNC (0xCCC0).

magic (4 bytes): A 32-bit, unsigned integer. This field MUST be set to WF_MAGIC (0xCACCACCA).

version (2 bytes): A 16-bit, unsigned integer. Indicates the version number. This field MUST be set to WF_VERSION_1_0 (0x0100).

2.2.2.2.2 TS_RFX_CODEC_VERSIONS

The TS_RFX_CODEC_VERSIONS message indicates the version of the RemoteFX codec that is being used.

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BlockT

... numCodecs codecs

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BlockT (6 bytes): A TS_RFX_BLOCKT (section 2.2.2.1.1) structure. The blockType field MUST

be set to WBT_CODEC_VERSIONS (0xCCC1).

numCodecs (1 byte): An 8-bit, unsigned integer. Specifies the number of codec version data

blocks in the codecs field. This field MUST be set to 0x01.

codecs (3 bytes): A TS_RFX_CODEC_VERSIONT (section 2.2.2.1.4) structure. The codecId field MUST be set to 0x01 and the version field MUST be set to WF_VERSION_1_0 (0x0100).

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2.2.2.2.3 TS_RFX_CHANNELS

The TS_RFX_CHANNELS message contains the list of channels. Each active monitor on the server must correspond to an entry in this list. The list can have more entries than the number of active

monitors. The decoder endpoint MUST be able to support channels with different frame dimensions.

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BlockT

... numChannels Channels (variable)

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BlockT (6 bytes): A TS_RFX_BLOCKT (section 2.2.2.1.1) structure. The blockType field MUST

be set to WBT_CHANNELS (0xCCC2).

numChannels (1 byte): An 8-bit, unsigned integer. Specifies the number of channel data blocks in the channels field.

Channels (variable): A variable-length array of TS_RFX_CHANNELT (section 2.2.2.1.3) structures. The number of elements in this array is specified in the numChannels field.

2.2.2.2.4 TS_RFX_CONTEXT

The TS_RFX_CONTEXT message contains information regarding the encoding properties being used.

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CodecChannelT

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CodecChannelT (8 bytes): A TS_RFX_CODEC_CHANNELT structure. The blockType field MUST be set to WBT_CONTEXT (0xCCC3).

ctxId (1 byte): An 8-bit unsigned integer. Specifies an identifier for this context message. This field MUST be set to 0x00. The decoder SHOULD ignore this field.

tileSize (2 bytes): A 16-bit unsigned integer. Specifies the tile size used by the RemoteFX codec. This field MUST be set to CT_TILE_64x64 (0x0040), indicating that a tile is 64 x 64 pixels.

properties (2 bytes): A 16-bit unsigned integer. Contains a collection of bit-packed property fields. The format of this field is described by the following bitfield diagram.

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flags cct xft et qt r

flags (3 bits): A 3-bit unsigned integer. Specifies operational flags.

Flag Meaning

CODEC_MODE

0x02

The codec is operating in image mode. If this flag is not set, the codec is

operating in video mode.

When operating in image mode, the Encode Headers messages (section 2.2.2.2) MUST always precede an encoded frame. When operating in video mode, the header messages MUST be present at the beginning of the stream and MAY be present elsewhere.

cct (2 bits): A 2-bit unsigned integer. Specifies the color conversion transform. This field

MUST be set to COL_CONV_ICT (0x1) to specify the transform defined by the equations in sections 3.1.8.1.3 and 3.1.8.2.5. The decoder SHOULD ignore this field.

xft (4 bits): A 4-bit unsigned integer. Specifies the DWT. This field MUST be set to CLW_XFORM_DWT_53_A (0x1), which indicates the DWT given by the equations in sections 3.1.8.1.4 and 3.1.8.2.4.

et (4 bits): A 4-bit unsigned integer. Specifies the entropy algorithm. This field MUST be set to one of the following values.

Value Meaning

CLW_ENTROPY_RLGR1

0x01

RLGR algorithm as detailed in 3.1.8.1.7.1.

CLW_ENTROPY_RLGR3

0x04


The decoder SHOULD ignore this value and use the value defined in the properties field of TS_RFX_TILESET (section 2.2.2.3.4) (section 2.2.2.3.4).

qt (2 bits): A 2-bit unsigned integer. Specifies the quantization type. This field MUST be

set to SCALAR_QUANTIZATION (0x1). The decoder SHOULD ignore this field.

r (1 bit): A 1-bit field reserved for future use. This field MUST be ignored when received.

2.2.2.3 Encode Data Messages

2.2.2.3.1 TS_RFX_FRAME_BEGIN

The TS_RFX_FRAME_BEGIN message indicates the start of a new frame for a specific channel in the

encoded stream.

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CodecChannelT

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frameIdx

numRegions

CodecChannelT (8 bytes): A TS_RFX_CODEC_CHANNELT (section 2.2.2.1.2) structure. The blockType field MUST be set to WBT_FRAME_BEGIN (0xCCC4).

frameIdx (4 bytes): A 32-bit unsigned integer. Specifies the index of the frame in the current

video sequence. This field is used when the codec is operating in video mode, as specified

using the flags field of the TS_RFX_CONTEXT (section 2.2.2.2.4) message. If the codec is operating in image mode, this field MUST be ignored. If the codec is operating in video mode, this field SHOULD be ignored.

numRegions (2 bytes): A 16-bit signed integer. Specifies the number of TS_RFX_REGION (section 2.2.2.3.3) messages following this TS_RFX_FRAME_BEGIN message. That is, the number of regions in the frame.

2.2.2.3.2 TS_RFX_FRAME_END

The TS_RFX_FRAME_END message specifies the end of a frame for a specific channel in the encoded stream.

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CodecChannelT (8 bytes): A TS_RFX_CODEC_CHANNELT (section 2.2.2.1.2) structure. The blockType field MUST be set to WBT_FRAME_END (0xCCC5).

2.2.2.3.3 TS_RFX_REGION

The TS_RFX_REGION message contains information about the list of change rectangles on the screen for a specific channel. It also specifies the number of trailing TS_RFX_TILESET (section 2.2.2.3.4) messages.

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...

regionFlags numRects rects (variable)

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regionType numTilesets

CodecChannelT (8 bytes): A TS_RFX_CODEC_CHANNELT (section 2.2.2.1.2) structure. The blockType field MUST be set to WBT_REGION (0xCCC6).

regionFlags (1 byte): An 8-bit, unsigned integer. Contains a collection of bit-packed property

fields. The format of this field is described by the following bitfield diagram.

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lrf reserved

lrf (1 bit): A 1-bit unsigned integer. This field MUST be set to 0x1. The decoder SHOULD ignore this field.

reserved (7 bits: A 7-bit integer reserved for future use. This field MUST be ignored.

numRects (2 bytes): A 16-bit, unsigned integer. Specifies the number of TS_RFX_RECT (section 2.2.2.1.6) structures present in the rects field.

rects (variable): A variable-length array of TS_RFX_RECT (section 2.2.2.1.6) structures. This array defines the region. The number of rectangles in the array is specified in the numRects field. Processing rules for the rectangles in this array are specified in section 3.1.8.2.6.

regionType (2 bytes): A 16-bit, unsigned integer. Specifies the region type. This field MUST be

set to CBT_REGION (0xCAC1).

numTilesets (2 bytes): A 16-bit, unsigned integer. Specifies the number of TS_RFX_TILESET (section 2.2.2.3.4) messages following this TS_RFX_REGION message. This field MUST be set to 0x0001.

2.2.2.3.4 TS_RFX_TILESET

The TS_RFX_TILESET message contains encoding parameters and data for an arbitrary number of

encoded tiles.

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properties numQuant tileSize

numTiles tilesDataSize

... quantVals (variable)

...

tiles (variable)

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CodecChannelT (8 bytes): A TS_RFX_CODEC_CHANNELT (section 2.2.2.1.2) structure. The blockType field MUST be set to WBT_EXTENSION (0xCCC7).

subtype (2 bytes): A 16-bit, unsigned integer. Specifies the message type. This field MUST be

set to CBT_TILESET (0xCAC2).

idx (2 bytes): A 16-bit, unsigned integer. Specifies the identifier of the TS_RFX_CONTEXT (section 2.2.2.2.4) message referenced by this TileSet message. This field MUST be set to 0x0000. The decoder SHOULD ignore this field.

properties (2 bytes): A 16-bit unsigned integer. Contains a collection of bit-packed property fields. The format of this field is described by the following bitmask diagram.

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lt (1 bit): A 1-bit field that specifies whether this is the last TS_RFX_TILESET in the region. This field MUST be set to TRUE (0x1). The decoder SHOULD ignore this field.

flags (3 bits): A 3-bit unsigned integer. Specifies operational flags.

Flag Meaning

CODEC_MODE

0x02

The codec is operating in image mode. If this flag is not set, the codec is

operating in video mode.

The encoder MUST set this value to the value of flags that is set in the properties field of TS_RFX_CONTEXT. The decoder MUST ignore this flag and MUST use the flags specified in the flags field of the TS_RFX_CONTEXT.

cct (2 bits): A 2-bit unsigned integer. Specifies the color conversion transform. This field

MUST be set to COL_CONV_ICT (0x1) to specify the transform defined by the equations

in sections 3.1.8.1.3 and 3.1.8.2.5. The decoder SHOULD ignore this field.

xft (4 bits): A 4-bit unsigned integer. Specifies the DWT. This field MUST be set to CLW_XFORM_DWT_53_A (0x1), which indicates the DWT given by the equations in sections 3.1.8.1.4 and 3.1.8.2.4. The decoder SHOULD ignore this field.

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et (4 bits): A 4-bit unsigned integer. Specifies the entropy algorithm. This field MUST be set to one of the following values.

Value Meaning

CLW_ENTROPY_RLGR1

0x01


CLW_ENTROPY_RLGR3

0x04


qt (2 bits): A 2-bit unsigned integer. Specifies the quantization type. This field MUST be set to SCALAR_QUANTIZATION (0x1). The decoder SHOULD ignore this field.

numQuant (1 byte): An 8-bit, unsigned integer. Specifies the number of TS_RFX_CODEC_QUANT (section 2.2.2.1.5) structures present in the quantVals field.

tileSize (1 byte): An 8-bit, unsigned integer. Specifies the width and height of a tile. This field

MUST be set to 0x40. The decoder SHOULD ignore this field.

numTiles (2 bytes): A 16-bit, unsigned integer. Specifies the number of TS_RFX_TILE (section 2.2.2.3.4.1) structures present in the tiles field.

tilesDataSize (4 bytes): A 32-bit, unsigned integer. Specifies the size, in bytes, of the tiles field. The tiles field contains encoded data for all of the tiles that have changed.

quantVals (variable): A variable-length array of TS_RFX_CODEC_QUANT (section 2.2.2.1.5) structures. The number of structures present in the array is indicated in the numQuant field.

tiles (variable): A variable-length array of TS_RFX_TILE (section 2.2.2.3.4.1) structures. The number of structures present in the array is indicated in the numTiles field, while the total size, in bytes, of this field is specified by the tilesDataSize field.

2.2.2.3.4.1 TS_RFX_TILE

The TS_RFX_TILE structure specifies the position of the tile on the frame and contains the encoded data for the three tile components of Y, Cb, and Cr.

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BlockT

... quantIdxY quantIdxCb

quantIdxCr xIdx yIdx

... YLen CbLen

... CrLen YData (variable)

...

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CbData (variable)

...

CrData (variable)

...

BlockT (6 bytes): A TS_RFX_BLOCKT (section 2.2.2.1.1) structure. The blockType field MUST be set to CBT_TILE (0xCAC3).

quantIdxY (1 byte): An 8-bit, unsigned integer. Specifies an index into the

TS_RFX_CODEC_QUANT array provided in the TS_RFX_TILESET message. The specified TS_RFX_CODEC_QUANT element MUST be used for de-quantization of the sub-bands for the Y-component.

quantIdxCb (1 byte): An 8-bit, unsigned integer. Specifies an index into the TS_RFX_CODEC_QUANT array provided in the TS_RFX_TILESET message. The specified TS_RFX_CODEC_QUANT element MUST be used for de-quantization of the sub-bands for

the Cb-component.

quantIdxCr (1 byte): An 8-bit, unsigned integer. Specifies an index into the TS_RFX_CODEC_QUANT array provided in the TS_RFX_TILESET message. The specified TS_RFX_CODEC_QUANT element MUST be used for de-quantization of the sub-bands for the Cr-component.

xIdx (2 bytes): A 16-bit, unsigned integer. The X-index of the encoded tile in the screen tile grid.

yIdx (2 bytes): A 16-bit, unsigned integer. The Y-index of the encoded tile in the screen tile grid.

YLen (2 bytes): A 16-bit, unsigned integer. Specifies the size, in bytes, of the YData field.

CbLen (2 bytes): A 16-bit, unsigned integer. Specifies the size, in bytes, of the CbData field.

CrLen (2 bytes): A 16-bit, unsigned integer. Specifies the size, in bytes, of the CrData field.

YData (variable): A variable-length array. Contains the encoded data for the Y-component of the tile. The size, in bytes, of this field is specified by the YLen field.

CbData (variable): A variable-length array. Contains the encoded data for the Cb-component of the tile. The size, in bytes, of this field is specified by the CbLen field.

CrData (variable): A variable-length array. Contains the encoded data for the Cr-component of the tile. The size, in bytes, of this field is specified by the CrLen field.

2.2.3 Control Messages

2.2.3.1 TS_FRAME_ACKNOWLEDGE_PDU

The TS_FRAME_ACKNOWLEDGE_PDU structure is a client-to-server PDU sent to the server whenever the client receives a Frame Marker Command ([MS-RDPBCGR] section 2.2.9.2.3) with the frameAction field set to SURFACECMD_FRAMEACTION_END (0x0001) and it has finished



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processing this particular frame (that is, the surface bits have been rendered on the screen). The server uses this acknowledgment to throttle the rate at which it generates frames of data to avoid

overloading the client with too many updates. The server SHOULD NOT wait for an acknowledgment for each frame before sending the next frame. Instead, the server SHOULD have a "window"

mechanism where it allows multiple frames to be unacknowledged before it slows down its frame rate (or stops completely).

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tpktHeader

x224Data mcsSDrq (variable)

...

securityHeader (variable)

...

shareDataHeader

...

...

...

... frameID

...

tpktHeader (4 bytes): A TPKT Header as specified in [T123] section 8.

x224Data (3 bytes): An X.224 Class 0 Data TPDU, as specified in [X224] section 13.7.

mcsSDrq (variable): Variable-length PER-encoded MCS Domain PDU (DomainMCSPDU) that encapsulates an MCS Send Data Request structure (SDrq, choice 25 from DomainMCSPDU). This is as specified in [T125] section 11.32, and the ASN.1 structure definitions are specified in [T125] section 7, parts 7 and 10. The userData field of the MCS Send Data Request PDU contains a Security Header, Share Data Header, and a frame ID.

securityHeader (variable): Optional security header. The presence and format of the security

header depend on the Encryption Level and Encryption Method selected by the server ([MS-

RDPBCGR] sections 5.3.2 and 2.2.1.4.3). If the Encryption Level selected by the server is greater than ENCRYPTION_LEVEL_NONE (0) and the Encryption Method selected by the server is greater than ENCRYPTION_METHOD_NONE (0), this field MUST contain one of the following headers:

Non-FIPS Security Header ([MS-RDPBCGR] section 2.2.8.1.1.2.2) if the Encryption Method

selected by the server is ENCRYPTION_METHOD_40BIT (0x00000001),









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ENCRYPTION_METHOD_56BIT (0x00000008), or ENCRYPTION_METHOD_128BIT (0x00000002).

FIPS Security Header ([MS-RDPBCGR] section 2.2.8.1.1.2.3) if the Encryption Level

selected by the server is ENCRYPTION_METHOD_FIPS (0x00000010).

If the Encryption Level selected by the server is ENCRYPTION_LEVEL_NONE (0) and the Encryption Method selected by the server is ENCRYPTION_METHOD_NONE (0), this header MUST NOT be included in the PDU.

shareDataHeader (18 bytes): Share Data Header ([MS-RDPBCGR] section 2.2.8.1.1.1.2) containing information about the packet. The type subfield of the pduType field of the Share Control Header ([MS-RDPBCGR] section 2.2.8.1.1.1.1) within the Share Data Header MUST be

set to PDUTYPE_DATAPDU (0x0007). The pduType2 field of the Share Data Header MUST be set to PDUTYPE2_FRAME_ACKNOWLEDGE (0x38).

frameID (4 bytes): A 32-bit unsigned integer. This field specifies the 32-bit identifier of the frame that was sent to the client using a Frame Marker Command and is being acknowledged

as delivered. The frameID field MUST be populated with the value of the frameID field that was specified in the Frame Marker Command associated with the frame being acknowledged. If the frameID field is set to the value 0xFFFFFFFF, the server SHOULD<5> assume that all

in-flight frames have been acknowledged.






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3 Protocol Details

3.1 Common Details

3.1.1 Abstract Data Model

This section describes a conceptual model of possible data organization that an implementation maintains to participate in this protocol. The described organization is provided to facilitate the explanation of how the protocol behaves. This document does not mandate that implementations

adhere to this model, as long as their external behavior is consistent with that described in this document.

OperationalMode: Stores the operational mode currently in use. Operational modes include video mode, and image mode.

EntropyAlgorithm: Stores the entropy algorithm currently in use. Entropy algorithms include RLGR1 and RLGR3.

FrameIndex: A 32-bit integer variable. Used by the server to keep track of the current index of

the encoded frame within an encoding session. This variable is used only when the OperationalMode is video mode. If the OperationalMode is image mode, the server does not need to maintain this variable.

In video mode, this variable should be initialized to 0 at the start of the session and then incremented by 1 after every encoded frame. The current value of this variable is stored in the frameIdx field of the TS_RFX_FRAME_BEGIN message (section 2.2.2.3.1).

3.1.1.1 State Machine

The following figure and table describe the state machine of the codec at the server end.

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Figure 3: Server state diagram

State Name Description

ServerUninitialized This is the initial state of the server. In this state, the server waits for the

TS_RFX_CLNT_CAPS_CONTAINER message from the client. On receiving this

message, the server processes it as described in section 3.1.5.1. If it finds a

compatible TS_RFX_ICAP, it initializes itself and gets into the SendHeaders state.

Otherwise, the connection is terminated (section 3.1.5.1).

SendHeaders In this state, the server sends the Header message sequence as described in section

3.1.8.3.1 and shown in Figure 17. The server then transitions to the SendFrameData

state.

SendFrameData In this state, the server sends the encoded frame data messages as described in

section 3.1.8.3.1 and shown in Figure 18. The server then transitions to the

FrameDataSent state.

FrameDataSent If the OperationalMode of the server is image mode, the server transitions to the

SendHeaders state. If the OperationalMode is video mode, the server transitions to

either the SendFrameData state or the SendHeaders state.

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3.1.2 Timers

None.

3.1.3 Initialization

The Bitmap Codecs Capability Set message ([MS-RDPBCGR] section 2.2.7.2.10) MUST be processed by the server, as specified in section 3.1.5.1, before RemoteFX encoding begins. This establishes the encoding properties that will be used by the server when sending the encoded data stream.

The Bitmap Codecs Capability Set is sent by the client, encapsulating the TS_RFX_CLNT_CAPS_CONTAINER (section 2.2.1.1). The server ultimately processes the encapsulated TS_RFX_CLNT_CAPS_CONTAINER (section 2.2.1.1) message as specified in section

3.1.5.1, picking a TS_RFX_ICAP (section 2.2.1.1.1.1.1) element. From that point on, the server uses the capability properties listed in that element to encode RemoteFX data streams.

3.1.4 Higher-Layer Triggered Events

None.

3.1.5 Processing Events and Sequencing Rules

Establishing the connection: RemoteFX capabilities messages are exchanged to establish the encoding properties used by the server, as specified in sections 3.1.3 and 3.1.5.1. A compliant server MUST process the TS_RFX_CLNT_CAPS_CONTAINER message as specified in section 3.1.5.1 before RemoteFX encoding can begin.

Sending RemoteFX encoded data: RemoteFX encoded data is sent to the client as a sequence of the RemoteFX messages defined in section 2.2.2. A compliant server MUST always send the

encoded messages in the correct order, as specified in section 3.1.8.3.1.

Header messages: The encoded message sequence MUST include header messages, as specified in section 3.1.8.3.1.

Header messages contain information about the encoding properties used for encoding data messages, and are used by the client to decode the message stream. Header messages MUST always specify the encoding properties initialized and stored in OperationalMode and EntropyAlgorithm. The encode header and data message

sequences are shown in the figures Generation of RemoteFX encode header messages and Generation of RemoteFX encode data messages (section 3.1.8.3.1).

Header messages can appear multiple times within the message stream, depending on the OperationalMode property:

If the encoder is initialized with OperationalMode set to video mode, then it MUST

send the encode header message sequence at the start of the stream. The encode

header message sequence is then followed by an arbitrary number of encode data message sequences.

If the encoder is initialized with OperationalMode set to image mode, then it MUST

send the encode header message sequence before every encode data message sequence.

Entropy Algorithm: The server MUST use the entropy algorithm, initialized and stored in

EntropyAlgorithm, to encode every data message in the encoded data stream.



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Error conditions: If the client receives an out-of-sequence, unspecified, or malformed message, then the client MUST treat this as an error and terminate the RDP connection.

3.1.5.1 Processing the TS_RFX_CLNT_CAPS_CONTAINER Message

The structure and fields of the TS_RFX_CLNT_CAPS_CONTAINER, and its constituent members, are specified in section 2.2.1.1.

TS_RFX_CLNT_CAPS_CONTAINER has a TS_RFX_CAPS field. The TS_RFX_CAPS field contains a TS_RFX_CAPSET sub-field, which is composed of a variable number of TS_RFX_ICAP structures.

The encoder parses the TS_RFX_CLNT_CAPS_CONTAINER message to get to the array of TS_RFX_ICAP structures. It processes each element of this array to check whether it can support all the properties listed in that TS_RFX_ICAP element. From this set of supported elements, it will

arbitrarily pick one element and use only the properties listed in that specific TS_RFX_ICAP to encode the data stream.

For example, if the decoder supports both RLGR1 and RLGR3, the client can specify support for both

of them. This support is specified using two TS_RFX_ICAP elements in the TS_RFX_CAPSET message that the client sends to the server. If the encoder also supports both RLGR1 and RLGR3, it then arbitrarily picks one of the TS_RFX_CAPSET elements to use for encoding.

Once a TS_RFX_ICAP element has been picked, the OperationalMode and EntropyAlgorithm ADM elements are set as follows.

If the TS_RFX_ICAP element's flags field is set to include the 0x02 flag, the OperationalMode

is set to image mode; otherwise, the OperationalMode is set to video mode.

When the TS_RFX_ICAP element's entropyBits field is set to 0x01, the EntropyAlgorithm is

set to RLGR1; when entropyBits is set to 0x04, EntropyAlgorithm is set to RLGR3.

Error conditions: If the server cannot support any of the TS_RFX_ICAP elements, it MUST stop sending messages and consider the RDP connection terminated.

3.1.6 Timer Events

None.

3.1.7 Other Local Events

None.

3.1.8 RemoteFX Algorithm

RemoteFX is a tile-based transform codec. It has the same functional stages as those found in most structured compression systems (section 1.3.1). At the encode endpoint, these stages are transform, quantization, and entropy encoding. The inverse of these operations (in the reverse order) takes place at the decode endpoint. RemoteFX uses DWTs and Run-Length Golomb-Rice

Coding (RLGR) ([ARLGR] section 3) for transformation and entropy encoding respectively.

3.1.8.1 Encoding

The functional stages involved in the encoding path are illustrated in the following figure. Each of these stages is described in the subsections that follow.


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Figure 4: RemoteFX encoding stages

3.1.8.1.1 Input Tiling

The input to the encoder is an arbitrary region contained within an image to be encoded. The input image is overlaid with a tile grid anchored to the top left corner of the screen (0, 0) and aligned to

the tile size (the tile size MUST be 64 x 64 pixels). The set of tiles that map to the input region are computed. These tiles are candidates for further processing, and each tile is processed independently of the others.

3.1.8.1.2 Differencing (Optional)

If the RemoteFX codec is to be used as a video codec, the encoder can, optionally, do differencing

between current and previous frames to compute the smallest set of tiles that have changed. The differencing is done by comparing the set of input tiles in the current frame with collocated tiles from the previous frame to determine whether any pixels have changed. Only the input tiles with changed pixels in the current frame are processed for compression. Note that the input tile is compressed as is; this algorithm does not compress the tile of difference values formed by subtracting the input tile pixels of the current frame from the collocated tile pixels in the previous

frame. This means that the decoder does not need to determine whether the encoder is doing

differencing. The encoder can use differencing to reduce the number of tiles that it needs to encode, thereby reducing the bandwidth required to send the compressed tiles to the decoder. If the codec is to be used as an image codec, this stage MUST be skipped.

3.1.8.1.3 Color Conversion (RGB to YCbCr)

Each input tile is converted from the RGB color space to the YCbCr color space. The transform used takes an RGB input value with each component in the range [0-255] and transforms it into Y,

Cb, and Cr, in the ranges [0.0, 255.0], [-128.0, 127.0], and [-128.0, 127.0], respectively. The Y-component is level-shifted down by 128, so that it also falls into the [-128.0, 127.0] range. The input tile in this level-shifted symmetric YCbCr color space is used as the input for the next stage of DWT. The matrix equation for this conversion is shown in the following figure.

Figure 5: The RGB to YCbCr conversion matrix

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3.1.8.1.4 DWT

Each tile component (Y, Cb, Cr) is individually transformed by a 2-D DWT using a 5/3 wavelet basis. The filter coefficients used for both of the lifting-based implementations are presented in the

following figure.

Figure 6: Lifting equations for the DWT

Filtering at the boundary is done by mirroring the input coefficients. For example, if there are eight

input coefficients:

[0, 1, 2, 3, 4, 5, 6, 7]

then, after mirroring, the coefficients get logically extended as follows:

[…, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1, 0, …]

This logical extension should be used when filtering at boundaries where coefficients are required

before or after the first and last available coefficient.

For each level of decomposition, we first perform the DWT in the vertical direction, followed by the DWT in the horizontal direction. After the first level of decomposition, there are 4 sub-bands: LL1,

LH1, HL1, HH1. For each successive level of decomposition, the LL sub-band of the previous level is

used as the input. Each tile component undergoes three levels of decomposition. This results in 10 sub-bands per component. LH1, HL1, and HH1 contain the highest frequency bands present in the image tile, while LL3 contains the lowest frequency band.

The three-level DWT decomposition is illustrated in the following figure.

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Figure 7: Three-level DWT decomposition

3.1.8.1.5 Quantization

The encoder determines a scale value for each sub-band and uses it to quantize all the coefficients in that sub-band, which is done by dividing each coefficient by the scale value and rounding it. These scale values are represented as quantization factors in a TS_RFX_CODEC_QUANT structure, which is embedded in a TS_RFX_TILESET message. The conversion between a scale value and a

quantization factor is given by the following figure.

Figure 8: Quantization factor to scale value conversion

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3.1.8.1.6 Linearization

The quantized tile components are linearized by raster scanning each of the sub-bands. The sub-band coefficient scan and traversal order is illustrated in the following figure.

Figure 9: Raster scan of sub-band coefficients

Linearization of the sub-bands is conducted in the following sequence: HL1, LH1, HH1, HL2, LH2, HH2, HL3, LH3, HH3, and LL3, as shown in the following figure.

Figure 10: Sub-band traversal order

The coefficients from LL3 also undergo differential encoding. Except for the first coefficient, every raster-scanned LL3 coefficient is subtracted from its previous neighbor. For example, if the raster-scanned LL3 coefficients are

[64, 32, 42, 54, 50, 60, 40, 70]

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Then, after differential encoding, they would get converted to

[64, -32, 10, 12, -4, -10, -20, 30]

3.1.8.1.7 RLGR Entropy Encoding

Each 64 x 64-pixel tile contains an array of 4,096 coefficients. This coefficient array is losslessly entropy-encoded using the RLGR algorithm ([ARLGR] section 3). The three tile components are assembled into an encoded tile packet (section 2.2.2.3.4.1). RLGR is an algorithm that adaptively switches between Run-Length encoding of zeros and Golomb-Rice coding of nonzero coefficients.

There are two variants of the RLGR algorithm that can be used, RLGR1 and RLGR3. The decoder endpoint specifies its preference through the capabilities negotiation (see the entropyBits field in section 2.2.1.1.1.1.1). The pseudocode that describes the complete RLGR1/RLGR3 algorithm in detail is given in section 3.1.8.1.7.3.

3.1.8.1.7.1 RLGR1

The RLGR algorithm is described in [ARLGR]. In this specification, the parameter adaptation rules,

which are central to the algorithm, are detailed in section [ARLGR] section 3. The specific adaptation values used by RLGR1 are given in the following two tables.

Figure 11: Adaptation rule for RLGR1/RLGR3 parameter kR

Figure 12: Adaptation rule for RLGR1/RLGR3 main parameter k

The initial value for the parameters kRP and kP is 8, and the value of L is 8. Both the parameters kRP and kP are clipped to the range [0, 80] after every update.




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3.1.8.1.7.2 RLGR3

The core RLGR algorithm [ARLGR] switches between the Run-Length and the Golomb-Rice mode as a stream of data is encoded, based on the Run-Length parameter, k, as shown in figure "Adaptation

rule for RLGR1/RLGR3 main parameter k" in section 3.1.8.1.7.2. The Golomb-Rice mode in the RLGR algorithm [ARLGR], operates by encoding one coefficient at a time and updating the Golomb-Rice parameter, kR, as shown in figure "Adaptation rule for RLGR1/RLGR3 parameter kR" in section 3.1.8.1.7.2. In RLGR3, the Run-Length mode parameter, k, and the Golomb-Rice parameter, kR, are updated exactly as in RLGR1, but the Golomb-Rice mode is processed differently. Once the algorithm enters into the Golomb-Rice mode, RLGR3 takes the sum of the next two coefficients and Golomb-Rice encodes the sum and updates the parameters k and kR as with RLGR1. After the sum

is encoded, the value of the first coefficient is emitted as binary code in the exact number of bits it takes to represent the sum. Pseudocode for Golomb-Rice mode in RLGR3 encode follows.

ENCODER GOLOMB-RICE MODE:

SUM = COEFF[n] + COEFF[n+1] // sum of the next two coefficients in the input stream

GOLOMB_RICE_ENCODE(SUM) // Golomb-Rice encode the value of SUM

BINARY_ENCODE(COEFF[n]) // using LOG2(SUM) bits

UPDATE_RLGR_PARAMETERS(SUM) // update RLGR parameters (k,kR) based on SUM

The decoder follows the same sequence of steps as the encoder, as it decodes the encoded data.

The pseudocode for the decoder in Golomb-Rice mode is given below.

DECODER GOLOMB-RICE MODE:

SUM = GOLOMB_RICE_DECODE() // decode the next value from the encoded stream

NBS = LOG2(SUM) // number of bits in binary representation of SUM

COEFF[n] = BINARY_DECODE(NBS) // read next NBS bits from input stream as COEFF[n]

COEFF[n+1] = SUM – COEFF[n] // compute COEFF[n+1]

UPDATE_RLGR_PARAMETERS(SUM) // update RLGR parameters (k,kR) based on SUM

In general, RLGR3 encodes faster than RLGR1 but is marginally worse in terms of compression ratio.

3.1.8.1.7.3 RLGR1/RLGR3 Pseudocode

3.1.8.1.7.3.1 RLGR1/RLGR3 Decode

The following pseudocode sample shows how to decode a stream of bits encoded using the

RLGR1/RLGR3 algorithm.

// Constants used within the RLGR1/RLGR3 algorithm

#define KPMAX (80) // max value for kp or krp

#define LSGR (3) // shift count to convert kp to k

#define UP_GR (4) // increase in kp after a zero run in RL mode

#define DN_GR (6) // decrease in kp after a nonzero symbol in RL mode

#define UQ_GR (3) // increase in kp after nonzero symbol in GR mode

#define DQ_GR (3) // decrease in kp after zero symbol in GR mode

//

// Gets (returns) the next nBits from the bitstream

// The layout of N bits in the bitstream with regard to a byte array is:



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// [0..N] -> [0..7](MSB..LSB),[8..15](MSB..LSB) ...,

// where (MSB..LSB) denotes a byte.

//

UINT GetBits(

UINT nBits

);

//

// From current output pointer, write "value", check and update *termsToDecode

//

VOID

WriteValue(

INT value,

INT *termsToDecode

);

//

// From current output pointer, write next nZeroes terms with value 0;

// check and update *termsToDecode

//

VOID

WriteZeroes(

UINT nZeroes,

INT *termsToDecode

);

//

// Returns the least number of bits required to represent a given value

//

UINT

GetMinBits(

UINT val// returns ceil(log2(val))

);

//

// Converts from (2 * magnitude - sign) to integer

//

INT

GetIntFrom2MagSign(

UINT twoMs

);

//

// Update the passed parameter and clamp it to the range [0,KPMAX]

// Return the value of parameter right-shifted by LSGR

//

INT

UpdateParam(

INT* param, // parameter to update

INT deltaP // update delta

)

{

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*param += deltaP;// adjust parameter

if (*param > KPMAX) *param = KPMAX;// max clamp

if (*param < 0) *param = 0;// min clamp

return (*param >> LSGR);

}

//

// Outputs the Golomb/Rice encoding of a non-negative integer

//

UINT

GetGRCode(

INT* krp,

INT* kr

)

{

INT vk;

UINT mag;

// chew up/count leading 1s and escape 0

for (vk=0;GetBits(1)==1;) {

vk++;

}

// get next *kr bits, and combine with leading 1s

mag = (vk<<*kr) | GetBits(*kr);

// adjust kpr and kr based on vk

if (!vk)

{

*kr = UpdateParam(kpr, -2);

}

else if (vk!=1)// at 1, no change!

{

*kr = UpdateParam(kpr, vk);

}

return (mag);

}

//

// Routine that reads and decodes stream of RLGR data

//

VOID

RLGR_Decode(

RLGR_MODE rlgrMode, // RLGR1 || RLGR3

INT termsToDecode

)

{

// initialize the parameters

INT k = 1;

INT kp = k << LSGR;

INT kr = 1;

INT krp = kr << LSGR;

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while (termsToDecode > 0)

{

INT run;

if (k)

{

// RL MODE

while (GetBits(1) == 0)

{

// we have an RL escape "0", which translates to a run (1<<k) of zeros

WriteZeroes(1<<k, &termsToDecode);

k = UpdateParam(&kp,UpGR); // raise k and kp up because of zero run

}

if (termsToDecode > 0)

{

// next k bits will contain remaining run of zeros

run = GetBits(k);

WriteZeroes(run, &termsToDecode);

}

if (termsToDecode > 0)

{

// get nonzero value, starting with sign bit and

// then GRCode for magnitude - 1

UINT sign = GetBits(1);

// magnitude - 1 was coded (because it was nonzero)

INT mag = (INT)GetGRCode(&krp,&kr) + 1;

WriteValue(sign ? -mag : mag, &termsToDecode);

k = UpdateParam(&kp, -DnGR); // lower k and kp because of nonzero term

}

}

else

{

// GR (GOLOMB-RICE) MODE

UINT mag = GetGRCode(&krp, &kr); // values coded are 2*magnitude - sign

if (rlgrMode == RLGR1)

{

if (!mag)

{

WriteValue(0, &termsToDecode);

k = UpdateParam(&kp, UqGR); // raise k and kp due to zero

}

else

{

WriteValue(GetIntFrom2MagSign(mag), &termsToDecode);

k = UpdateParam(&kp, -DqGR); // lower k and kp due to nonzero

}

}

else // rlgrMode == RLGR3

{

// In GR mode FOR RLGR3, we have encoded the

// sum of two (2*mag - sign) values

// maximum possible bits for first term

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UINT nIdx = GetMinBits(mag);

// decode val1 is first term's (2*mag - sign) value

UINT val1 = GetBits(nIdx);

// val2 is second term's (2*mag - sign) value

UINT val2 = mag - val1;

if (val1 && val2) {

// raise k and kp if both terms nonzero

k = UpdateParam(&kp, -2*DqGR);

}

else if (!val1 && !val2) {

// lower k and kp if both terms zero

k = UpdateParam(&kp, 2*UqGR);

}

WriteValue(GetIntFrom2MagSign(val1), &termsToDecode);

WriteValue(GetIntFrom2MagSign(val2), &termsToDecode);

}

}

}

}

3.1.8.1.7.3.2 RLGR1/RLGR3 Encode

The following pseudocode sample shows how to encode a stream of input symbols using the

RLGR1/RLGR3 algorithm.

// Constants used within the RLGR1/RLGR3 algorithm

#define KPMAX (80) // max value for kp or krp

#define LSGR (3) // shift count to convert kp to k

#define UP_GR (4) // increase in kp after a zero run in RL mode

#define DN_GR (6) // decrease in kp after a nonzero symbol in RL mode

#define UQ_GR (3) // increase in kp after nonzero symbol in GR mode

#define DQ_GR (3) // decrease in kp after zero symbol in GR mode

//

// Returns the next coefficient (a signed int) to encode, from the input stream

//

INT

GetNextInput();

//

// Emit bitPattern to the output bitstream.

// The bitPattern value represents a bit sequence that is generated by shifting

// new bits in from the right. If we take the binary representation of bitPattern,

// with N(numBits-1) being the leftmost bit position and 0 being the rightmost bit position,

// the mapping of bitPattern to the output bytes is as follows:

//

// bitPattern[N..0] -> byte[MSB..LSB] .. byte[MSB..LSB]

//

VOID

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OutputBits(

INT numBits, // number of bits in bitPattern

INT bitPattern // bit pattern

);

//

// Emit a bit (0 or 1), count number of times, to the output bitstream

//

VOID

OutputBit(

INT count, // number of times to emit the bit

INT bit // 0 or 1

);

//

// Returns the least number of bits required to represent a given value

//

UINT

GetMinBits(

INT val // returns ceil(log2(val))

);

//

// Converts the input value to (2 * abs(input) - sign(input)),

// where sign(input) = (input < 0 ? 1 : 0) and returns it

//

UINT

Get2MagSign(

INT input // input value

);

//

// Update the passed parameter and clamp it to the range [0,KPMAX]

// Return the value of parameter right-shifted by LSGR

//

INT

UpdateParam(

INT* param, // parameter to update

INT deltaP // update delta

)

{

*param += deltaP;

if (*param > KPMAX) *param = KPMAX;

if (*param < 0) *param = 0;

return (*param >> LSGR);

}

//

// Outputs the Golomb/Rice encoding of a non-negative integer

//

VOID

CodeGR(

INT* krp, // GR parameter, used and updated based on the input value

UINT val // input non-negative value to be encoded

)

{

INT kr = *krp >> LSGR;

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// unary part of GR code

UINT vk = val >> kr;

OuputBit(vk, 1);

OutputBit(1, 0);

// remainder part of GR code, if needed

if (kr) {

OutputBits(kr, val & ((1 << kr) - 1));

}

// update krp, only if it is not equal to 1

if (vk == 0) {

UpdateParam(krp, -2);

}

else if (vk > 1) {

UpdateParam(krp, vk);

}

}

//

// Routine that outputs a stream of RLGR1/RLGR3-encoded bits

//

VOID

RLGR_Encode(

RLGR_MODE rlgrMode // RLGR1 || RLGR3

)

{

// initialize the parameters

INT k = 1;

INT kp = 1 << LSGR;

INT kr = 1;

INT krp = 1 << LSGR;

// process all the input coefficients

while (1)

{

INT input;

if (k)

{

// RUN-LENGTH MODE

// collect the run of zeros in the input stream

INT numZeros = 0;

while ((input = GetNextInput()) == 0) {

++ numZeros;

}

// emit output zeros

INT runmax = 1 << k;

while (numZeros >= runmax)

{

OutputBit(1, 0); // output a zero bit

numZeros -= runmax;

k = UpdateParam(&kp, UpGR); // update kp, k

runmax = 1 << k;

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}

// output a 1 to terminate runs

OuputBit(1, 1);

// output the remaining run length using k bits

OutputBits(k, numZeros);

// encode the nonzero value using GR coding

INT mag = abs(input); // absolute value of input coefficient

INT sign = (input < 0 ? 1 : 0); // sign of input coefficient

OutputBit(1, sign); // output the sign bit

CodeGR(&krp, mag - 1); // output GR code for (mag - 1)

k = UpdateParam(&kp, -DnGR);

}

else

{

// GOLOMB-RICE MODE

if (rlgrMode == RLGR1)

{

// RLGR1 variant

// convert input to (2*magnitude - sign), encode using GR code

UINT twoMs = Get2MagSign(GetNextInput());

CodeGR(&krp, twoMs);

// update k, kp

if (!twoMs) {

k = UpdateParam(&kp, UqGR);

}

else {

k = UpdateParam(&kp, -DqGR);

}

}

else // rlgrMode == RLGR3

{

// RLGR3 variant

// convert the next two input values to (2*magnitude - sign) and

// encode their sum using GR code

UINT twoMs1 = Get2MagSign(GetNextInput());

UINT twoMs2 = Get2MagSign(GetNextInput());

UINT sum2Ms = twoMs1 + twoMs2;

CodeGR(&krp, sum2Ms);

// encode binary representation of the first input (twoMs1).

OutputBits(GetMinBits(sum2Ms), twoMs1);

// update k,kp for the two input values

if (twoMs1 && twoMs2) {

k = UpdateParam(&kp, -2*DqGR);

}

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else if (!twoMs1 && !twoMs2) {

k = UpdateParam(&kp, 2*UqGR);

}

}

}

}

}

3.1.8.2 Decoding

The functional stages involved in the decoding path are illustrated in the following figure. Compared to the encoding stages, the decoding stage operations are the operations of the encoding stage in reverse order.

Figure 13: RemoteFX decoding stages

3.1.8.2.1 RLGR Entropy Decoding

The three encoded tile components (Y, Cb, and Cr) are entropy decoded independently. The algorithm used is either inverse RLGR1 or RLGR3, depending on which one was used for encoding.

For details of the decoding process, refer to [ARLGR] (the encoding process is described in section 3.1.8.1.7).

3.1.8.2.2 Sub-Band Reconstruction

The RLGR entropy decoding stage results in the generation of an array of 4096 coefficients per tile component. The last 64 coefficients (which correspond to the LL3 sub-band) are differentially decoded. After this step, the coefficients are rearranged to form the sub-band structure shown in

the figure in section 3.1.8.1.6 that describes the sub-band traversal order.

3.1.8.2.3 Dequantization

The quantization factors used for each sub-band are specified in the TS_RFX_TILE (section

2.2.2.3.4.1) structure. A scale value is computed from the quantization factor using the formula shown in the figure in section 3.1.8.1.5. Each coefficient in the appropriate sub-band is dequantized by multiplying it with this scale value and rounded.


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3.1.8.2.4 Inverse DWT

Each tile component undergoes three levels of inverse discrete wavelet transformation (IDWT). The 5/3 lifting equations used for the IDWT are presented in the following figure.

Figure 14: Lifting equations for inverse DWT

This stage results in the decoded Y, Cb, and Cr components for the tile.

3.1.8.2.5 Color Conversion (YCbCr to RGB)

The Y-component is first level shifted up by 128 so that it falls in the [0.0, 255.0] range. The three YCbCr components are then transformed to the RGB color space by using the following transform

matrix.

Figure 15: The YCbCr to RGB conversion matrix

3.1.8.2.6 Reconstructed Frame

Each decoded RGB tile is intersected and clipped against the set of rectangles from the rects field of the TS_RFX_REGION (section 2.2.2.3.3) message. This gives a set of clipped rectangles, which are blitted to the appropriate location on the screen. Doing this for all the tiles present in the

TS_RFX_TILESET (section 2.2.2.3.4) message will result in the reconstructed frame.

There are two reasons for doing this tile-region intersection. One is that the changed region on the

screen, which comprises a set of arbitrary-sized rectangles, is converted to 64x64 tiles (section 3.1.8.1.1) and these tiles can extend beyond the boundary of the rectangles of the change region. The second reason is that the differencing operation (section 3.1.8.1.2) could cull some of these tiles and the decoder will not receive these tiles within the TS_RFX_TILESET message.

3.1.8.3 RemoteFX Stream

A RemoteFX stream is defined to be the set of all of the codec messages, sent sequentially from an

encoder endpoint to a decoder endpoint. There is no message to signify the end of a stream. If the RemoteFX codec is to be used as an image codec, the stream only contains messages pertaining to a single image. If the RemoteFX codec is to be used as a video codec, the stream can contain an arbitrary number of images.

3.1.8.3.1 Encode Message Sequencing

An encoded RemoteFX stream is composed of a sequence of encode messages that are described in

section 2.2.2. The sequence of encode messages is encapsulated inside an Extended Bitmap Data structure ([MS-RDPBCGR] section 2.2.9.2.1.1), which is encapsulated in a Stream Surface Bits Surface Command ([MS-RDPBCGR] section 2.2.9.2.2).



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All encode messages start with a TS_RFX_BLOCKT (section 2.2.2.1.1) structure. When parsing the message blocks, the blockLen field of a TS_RFX_BLOCKT MUST be used to obtain the length of the

data block. This length MUST NOT be less than the length based on the blockType field of the TS_RFX_BLOCKT.

The RemoteFX stream is structured as a set of header messages followed by encoded data messages. The header messages contain global information necessary to decompress the data messages. The header messages are described in section 2.2.2.2, and the data messages are described in section 2.2.2.3. The stream MUST start with the header messages and any of these headers can appear in the stream at a later stage. The header messages can be repeated.

Figure 16: Message sequencing in the RemoteFX stream

The first message in a RemoteFX stream MUST be the TS_RFX_SYNC (section 2.2.2.2.1) message. This message MUST be followed by the TS_RFX_CHANNELS (section 2.2.2.2.3), TS_RFX_CODEC_VERSIONS (section 2.2.2.2.2), and TS_RFX_CONTEXT (section 2.2.2.2.4) messages, as shown in the figure that follows. It is permissible for these three messages to occur in

any order. These three messages contain all of the information needed to initialize the decoder.

Figure 17: Generation of RemoteFX encode header messages

The TS_RFX_CHANNELS message MUST contain a single channel, and the frame dimensions of this

channel are given by the width and height fields of the corresponding TS_RFX_CHANNELT structure (section 2.2.2.1.3). The decoder MUST check the TS_RFX_CODEC_VERSIONS and TS_RFX_CONTEXT messages to determine whether it is compatible with the RemoteFX codec version and the encoding properties listed in these messages. If the decoder cannot support the codec version, the channel frame dimensions, or any of the listed encoding properties, it MUST reject the encoded stream.

The data associated with each encoded frame or image is always bracketed by the

TS_RFX_FRAME_BEGIN (section 2.2.2.3.1) and TS_RFX_FRAME_END (section 2.2.2.3.2) messages. The sequence of blocks that comprise a frame are described in the figure that follows. There MUST

only be one TS_RFX_REGION (section 2.2.2.3.3) message per frame and one TS_RFX_TILESET (section 2.2.2.3.4) message per TS_RFX_REGION. All of the messages corresponding to a frame associated with a given channel MUST occur consecutively within the codec byte-stream. The messages corresponding to frames from two different channels MUST NOT be interleaved.

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Figure 18: Generation of RemoteFX encode data messages

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4 Protocol Examples

4.1 Sample Use Case

Consider the case of a remote endpoint system with one monitor configured to use a display resolution of 1280 x 1024 pixels. In this scenario, there is one instance of the RemoteFX encoder running on the remote system. The encoder is configured to use one channel with frame buffer dimensions of 1280 x 1024. As the contents of the screen are updated over time, the changes are captured, and the affected regions in the frame buffer corresponding to the bounding rectangles of

the updated areas are fed as input to the encoder to compress.

The encoder examines the update regions and determines the set of tiles that correspond to those regions. The tile grid is anchored to the frame at (0, 0) and aligned to the tile size. This means that as an update region (for example, a window being dragged) moves around on the screen, the number of tiles corresponding to that update region can vary. In the figure that follows, the regions A and B are the same size (3 x 3) but they correspond to 9 and 16 tiles respectively due to their location on the screen. In the case of border tiles where the update region is not aligned to the tile

grid, the area of the tile outside of the actual update region can contain arbitrary data and hence cannot be relied upon to contain valid image data. In the figure that follows, region B is not aligned to the tile grid and hence the perimeter tiles only contain a partial image.

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Figure 19: Update region to tile grid mapping

The single monitor configuration results in a TS_RFX_CHANNELS (section 2.2.2.2.3) header

message that specifies one channel set to 1280 x 1024. For every frame that is encoded due to region updates, the message sequence that results is described in the encode messages diagram in section 3.1.8.3.1. The TS_RFX_REGION (section 2.2.2.3.3) message contains the list of updated rectangles, and the accompanying TS_RFX_TILESET (section 2.2.2.3.4) message contains the corresponding set of tiles. The TS_RFX_TILE (section 2.2.2.3.4.1) structure contains the location of the tile in the frame. Conceptually, the decoder can decode each tile, blit it to the proper location in a temporary frame buffer, and then blit all of the updated rectangles to an output frame buffer.

4.2 Annotated RemoteFX Messages

4.2.1 Capabilities Messages

The following is an annotated network capture of the TS_RFX_CLNT_CAPS_CONTAINER message (section 2.2.1.1).

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00000000 31 00 00 00 01 00 00 00 25 00 00 00 c0 cb 08 00

00000010 00 00 01 00 c1 cb 1d 00 00 00 01 c0 cf 02 00 08

00000020 00 00 01 40 00 00 01 01 01 00 01 40 00 00 01 01

00000030 04

TS_RFX_CAPS message (section 2.2.1.1.1):

c0 cb –> TS_RFX_CAPS::blockType = CBY_CAPS

08 00 00 00 –> TS_RFX_CAPS::blockLen = 8

01 00 –> TS_RFX_CAPS::numCapsets = 1

TS_RFX_CAPSET message (section 2.2.1.1.1.1):

c1 cb –> TS_RFX_CAPS::TS_RFX_CAPSET[0]::blockType = CBY_CAPSET

1d 00 00 00 –> TS_RFX_CAPS::TS_RFX_CAPSET[0]::blockLen = 29

01 –> TS_RFX_CAPS::TS_RFX_CAPSET[0]::codecId = 1

C0 cf –> TS_RFX_CAPS::TS_RFX_CAPSET[0]::capsetType = CLY_CAPSET

02 00 –> TS_RFX_CAPS::TS_RFX_CAPSET[0]::numIcaps = 2

08 00 –> TS_RFX_CAPS::TS_RFX_CAPSET[0]::icapLen = 8

TS_RFX_ICAP message (section 2.2.1.1.1.1.1):

00 01 –> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[0]::version = CLW_VERSION_1_0

40 00 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[0]::tileSize = 64

00 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[0]::flags = VIDEO_MODE (0)

01 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[0]::colConvBits = CLW_COL_CONV_ICT

01 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[0]::transformBits = CLW_XFORM_DWT_53_A

01 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[0]::entropyBits = CLW_ENTROPY_RLGR1

00 01 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[1]::version = CLW_VERSION_1_0

40 00 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[1]::tileSize = 64

00 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[1]::flags = VIDEO_MODE (0)

01 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[1]::colConvBits = CLW_COL_CONV_ICT

01 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[1]::transformBits = CLW_XFORM_DWT_53_A

04 -> TS_RFX_CAPS::TS_RFX_CAPSET[0]::TS_RFX_ICAP[1]::entropyBits = CLW_ENTROPY_RLGR3

The client has specified support for both RLGR1 and RLGR3, by including two TS_RFX_ICAP

elements. The server can pick either of the two and use the corresponding encoding properties, as described in section 3.1.5.1.

The following is an annotated dump of the TS_RFX_SRVR_CAPS_CONTAINER message (section 2.2.1.2).

00000000 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00

00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00

00000020 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00

00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00

The server has sent an array of bytes set to zero as described in section 2.2.1.2.

4.2.2 Encode Header Messages

The following is an annotated network capture of the Encode Header Messages (section 2.2.2.2).

54 / 142


00000000 c0 cc 0c 00 00 00 ca ac cc ca 00 01 c3 cc 0d 00

00000010 00 00 01 ff 00 40 00 28 a8 c1 cc 0a 00 00 00 01

00000020 01 00 01 c2 cc 0c 00 00 00 01 00 40 00 40 00

TS_RFX_SYNC message (section 2.2.2.2.1):

c0 cc –> TS_RFX_SYNC::BlockT::blockType = WBT_SYNC

0c 00 00 00 –> TS_RFX_SYNC::BlockT::blockLen = 12

ca ac cc ca –> TS_RFX_SYNC::magic = WF_MAGIC

00 01 –> TS_RFX_SYNC::version = 0x0100

TS_RFX_CONTEXT message (section 2.2.2.2.4):

c3 cc –> TS_RFX_CONTEXT::CodecChannelT::BlockT::blockType = WBT_CONTEXT

0d 00 00 00 –> TS_RFX_CONTEXT::CodecChannelT::BlockT::blockLen = 13

01 –> TS_RFX_CONTEXT::CodecChannelT::codecId = 1

ff –> TS_RFX_CONTEXT::CodecChannelT::channelId = 255

00 –> TS_RFX_CONTEXT::ctxId = 0

40 00 –> TS_RFX_CONTEXT::tileSize = 64

28 a8 –> TS_RFX_CONTEXT::properties

TS_RFX_CONTEXT::properties::flags = VIDEO_MODE (0)

TS_RFX_CONTEXT::properties::cct = COL_CONV_ICT (1)

TS_RFX_CONTEXT::properties::xft = CLW_XFORM_DWT_53_A (1)

TS_RFX_CONTEXT::properties::et = CLW_ENTROPY_RLGR3 (4)

TS_RFX_CONTEXT::properties::qt = SCALAR_QUANTIZATION (1)

TS_RFX_CONTEXT::properties::r = RESERVED

TS_RFX_CODEC_VERSIONS message (section 2.2.2.2.2):

c1 cc –> TS_RFX_CODEC_VERSIONS::BlockT::blockType = WBT_CODEC_VERSION

0a 00 00 00 –> TS_RFX_CODEC_VERSIONS::BlockT::blockLen = 10

01 -> TS_RFX_CODEC_VERSIONS::numCodecs = 1

01 –> TS_RFX_CODEC_VERSIONS::TS_RFX_CODEC_VERSIONT::codecId = 1

00 01 –> TS_RFX_CODEC_VERSIONS::TS_RFX_CODEC_VERSIONT::version 0x0100

TS_RFX_CHANNELS message (section 2.2.2.2.3):

c2 cc –> TS_RFX_CHANNELS::BLockT::blockType = WBT_CHANNELS

0c 00 00 00 –> TS_RFX_CHANNELS::BlockT::blockLen = 12

01 -> TS_RFX_CHANNELS::numChannels = 1

00 –> TS_RFX_CHANNELS::TS_RFX_CHANNELT::channelId = 0

40 00 –> TS_RFX_CHANNELS::TS_RFX_CHANNELT::width = 64

40 00 –> TS_RFX_CHANNELS::TS_RFX_CHANNELT::height = 64

The server has chosen to encode using RLGR3 (TS_RFX_CONTEXT) and specified one channel with

dimensions of 64x64 (TS_RFX_CHANNELS).

4.2.3 Encode Data Messages

The following is an annotated network capture of the Encode Data Messages (section 2.2.2.3).

00000000 c4 cc 0e 00 00 00 01 00 00 00 00 00 01 00 c6 cc

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00000010 17 00 00 00 01 00 cd 01 00 00 00 00 00 40 00 40

00000020 00 c1 ca 01 00 c7 cc d9 03 00 00 01 00 c2 ca 00

00000030 00 51 50 01 40 01 00 be 03 00 00 66 66 77 88 98

00000040 c3 ca be 03 00 00 00 00 00 00 00 00 00 26 01 3d

00000050 01 48 01 19 82 1d 10 62 9d 28 85 2c a2 14 b2 88

00000060 52 ca 21 4b 28 85 2c a2 14 b2 88 52 ca 21 4b 28

00000070 85 2c a2 14 b2 88 52 ca 21 4b 28 85 2c a2 14 b2

00000080 88 52 ca 21 4b 28 85 2c a2 14 b2 88 52 ca 21 4b

00000090 28 85 2c a2 14 b2 88 52 ca 21 4b 28 85 2c a2 14

000000A0 b2 88 52 ca 21 4b 28 85 2c a2 14 b0 00 20 f4 40

000000B0 0c c1 1e 20 26 22 20 33 23 c4 23 88 86 50 f1 22

000000C0 68 4c 91 85 10 34 4c 84 78 a2 0d 13 21 1e 29 06

000000D0 89 90 8f 14 83 44 f4 23 c5 20 d1 3d 08 f1 48 34

000000E0 4f 42 3c 52 0d 13 d0 8f 14 83 44 f4 23 c5 20 d1

000000F0 3d 08 f1 48 34 4f 42 3c 52 0d 13 d0 8f 14 83 44

00000100 f4 23 c5 20 00 08 47 70 15 02 e0 7f e4 9d c2 51

00000110 71 f4 99 c9 57 ff 32 87 9d 17 d6 50 6e 06 2f ac

00000120 a0 9c 0c 5f 59 41 38 18 be b2 82 70 31 7d 65 00

00000130 00 10 ff 9c 33 41 f1 c4 b0 3c ff a2 15 bd 7b ea

00000140 86 9b 5f fc 78 8c f5 ed a8 68 da fd 3c 45 7a f4

00000150 d4 34 6d 7e 9e 22 bd 7a 6a 1a 36 bf 4f 11 5e bd

00000160 35 0d 1b 5f a7 88 af 5e 9a 86 8d af d3 c4 57 af

00000170 4d 43 46 d7 e9 e2 20 30 00 1b 04 7f 04 31 5f c2

00000180 94 af 05 29 5e 0a 52 bc 14 a5 78 29 25 78 29 25

00000190 78 29 25 68 52 4a f0 52 4a f0 52 4a d0 a4 95 e0

000001A0 a4 95 e0 a4 95 a1 49 2b c1 49 2b c1 49 2b 42 92

000001B0 57 82 92 57 82 92 56 85 24 af 05 24 af 05 24 ad

000001C0 0a 49 5e 0a 49 5e 0a 49 5a 14 92 bc 14 92 bc 14

000001D0 92 b4 29 25 78 29 25 78 00 02 0f 02 00 ac 13 fc

000001E0 c0 0a 20 10 2b 27 f9 80 b0 08 aa 3d 60 8c 0b 24

000001F0 ff 30 80 c0 aa 13 fc c2 03 05 90 9f e6 10 18 2c

00000200 84 ff 30 81 82 c8 4f f3 08 18 2c 84 ff 31 03 05

00000210 90 9f ff d8 40 60 59 09 fe 61 01 81 64 27 f9 84

00000220 06 0b 21 3f cc 20 30 59 09 fe 61 03 05 90 9f e6

00000230 10 30 59 09 fe 62 00 00 42 15 00 10 15 01 fe 20

00000240 84 d5 01 0a 8f f1 40 33 78 17 f9 c2 03 83 01 78

00000250 e1 01 c1 00 bc 70 80 e0 80 5e 38 40 70 40 2f 1c

00000260 20 38 20 17 8e 10 00 00 87 d5 08 70 ef 81 a2 d8

00000270 ff ff ff fb d1 2d 4e a6 ce 20 a4 ef 05 78 35 3a

00000280 9b 38 82 93 bc 15 e0 d4 ea 66 71 05 27 78 2b c1

00000290 29 d4 cc e2 0a 4e f0 57 82 53 a9 99 c4 14 9d e0

000002A0 af 04 a7 53 33 88 29 3b c1 5e 09 4e a6 67 10 52

000002B0 77 82 bc 00 18 00 1b fc 11 c1 0f 4a c1 4f 4a c1

000002C0 4f 4a a1 4d 95 42 9e 95 42 9e 95 42 9b 2a 85 3d

000002D0 2a 85 3d 2a 85 36 55 0a 7a 55 0a 7a 55 0a 6c aa

000002E0 14 f4 aa 14 f4 aa 14 d9 54 29 e9 54 29 e9 54 29

000002F0 b2 a8 53 d2 a8 53 d2 a8 53 65 50 a7 a5 50 a7 a5

00000300 50 a6 ca a1 4f 4a a1 4f 4a a1 4d 95 42 9e 95 42

00000310 9e 95 42 9b 2a 80 00 41 e3 80 3f e2 09 9c 00 22

00000320 07 03 e1 26 70 06 07 1f 04 67 00 61 df 02 67 00

00000330 0c 3b fe 01 33 80 06 1d ff 00 99 c0 03 0e ff 80

00000340 4c e0 01 87 7f c0 26 70 00 c3 bf e0 13 38 00 61

00000350 df f0 09 9c 00 30 ef f8 04 ce 00 18 77 fc 02 67

00000360 00 0c 3b fe 01 33 80 06 1d ff 00 99 c0 03 0e ff

00000370 80 4c e0 01 87 7f c0 26 70 00 00 08 3c 20 1f f1

00000380 00 f0 05 02 93 84 3d 20 f0 52 81 c7 ff ff ea 54

00000390 01 80 05 f5 4a 80 30 00 b6 a5 40 18 00 5f 54 a8

000003A0 03 00 0b ea 95 00 60 01 6d 4a 80 30 00 00 22 3f

000003B0 ba 08 10 2b 1f f2 20 3e 49 9c 1f 6e 0f 5a 0f fb

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000003C0 18 46 ae 27 9b 83 cb 41 f3 18 46 ae 27 9b 83 c5

000003D0 a0 f9 8c 22 d7 13 8d c1 e2 d0 7c c6 11 6b 89 c6

000003E0 e0 f1 68 3e 63 08 b5 c4 e3 70 78 b4 1f 31 84 5a

000003F0 e2 71 b8 3c 5a 0f 98 c2 2d 71 30 83 c0 00 c5 cc

00000400 08 00 00 00 01 00

TS_RFX_FRAME_BEGIN message (section 2.2.2.3.1):

c4 cc –> TS_RFX_FRAME_BEGIN::CodecChannelT::blockType = WBT_FRAME_BEGIN

0e 00 00 00 –> TS_RFX_FRAME_BEGIN::CodecChannelT::blockLen = 14

01 –> TS_RFX_FRAME_BEGIN::CodecChannelT::codecId = 1

00 –> TS_RFX_FRAME_BEGIN::CodecChannelT::channelId = 0

00 00 00 00 –> TS_RFX_FRAME_BEGIN::frameIdx = 0

01 00 –> TS_RFX_FRAME_BEGIN::numRegions = 1

TS_RFX_REGION message (section 2.2.2.3.3):

c6 cc –> TS_RFX_REGION::CodecChannelT::blockType = WBT_REGION

17 00 00 00 –> TS_RFX_REGION::CodecChannelT::blockLen = 23

01 –> TS_RFX_REGION::CodecChannelT::codecId = 1

00 –> TS_RFX_REGION::CodecChannelT::channelId = 0

0d –> TS_RFX_REGION::regionFlags

TS_RFX_REGION::regionFlags::lrf = 1

01 00 –> TS_RFX_REGION::numRects = 1

00 00 –> TS_RFX_REGION::TS_RFX_RECT::x = 0

00 00 –> TS_RFX_REGION::TS_RFX_RECT::y = 0

40 00 –> TS_RFX_REGION::TS_RFX_RECT::width = 64

40 00 –> TS_RFX_REGION::TS_RFX_RECT::height = 64

c1 ca –> TS_RFX_REGION::regionType = CBT_REGION

01 00 –> TS_RFX_REGION::numTilesets = 1

TS_RFX_TILESET message (section 2.2.2.3.4):

c7 cc -> TS_RFX_TILESET::CodecChannelT::blockType = WBT_EXTENSION

d9 03 00 00 -> TS_RFX_TILESET::CodecChannelT::blockLen = 985

01 -> TS_RFX_TILESET::codecId = 1

00 -> TS_RFX_TILESET::channelId = 0

c2 ca -> TS_RFX_TILESET::subtype = CBT_TILESET

00 00 -> TS_RFX_TILESET::idx = 0x00

51 50 -> TS_RFX_TILESET::properties

TS_RFX_TILESET::properties::lt = TRUE (1)

TS_RFX_TILESET::properties::flags = VIDEO_MODE (0)

TS_RFX_TILESET::properties::cct = COL_CONV_ICT (1)

TS_RFX_TILESET::properties::xft = CLW_XFORM_DWT_53_A (1)

TS_RFX_TILESET::properties::et = CLW_ENTROPY_RLGR3 (4)

TS_RFX_TILESET::properties::qt = SCALAR_QUANTIZATION (1)

01 -> TS_RFX_TILESET::numQuant = 1

40 -> TS_RFX_TILESET::tileSize = 64

01 00 -> TS_RFX_TILESET::numTiles = 1

df 03 00 00 -> TS_RFX_TILESET::tilesDataSize = 991

66 66 77 88 98 -> TS_RFX_TILESET::quantVals

TS_RFX_TILESET::quantVals::LL3 = 6

TS_RFX_TILESET::quantVals::LH3 = 6

TS_RFX_TILESET::quantVals::HL3 = 6

TS_RFX_TILESET::quantVals::HH3 = 6

57 / 142








TS_RFX_TILE message (section 2.2.2.3.4.1):

c3 ca -> TS_RFX_TILE::BlockT::blockType = CBT_TILE

be 03 -> TS_RFX_TILE::BlockT::blockLen = 958

00 -> TS_RFX_TILE::quantIdxY = 0

00 -> TS_RFX_TILE::quantIdxCb = 0

00 -> TS_RFX_TILE::quantIdxCr = 0

00 00 -> TS_RFX_TILE::xIdx = 0

00 00 -> TS_RFX_TILE::yIdx = 0

26 01 -> TS_RFX_TILE::YLen = 294

3d 01 -> TS_RFX_TILE::CbLen = 317

48 01 -> TS_RFX_TILE::CrLen = 328

00000053:00000178 -> TS_RFX_TILE::YData

00000179:000002b5 -> TS_RFX_TILE::CbData

000002b6:000003fd -> TS_RFX_TILE::CrData

TS_RFX_FRAME_END message (section 2.2.2.3.2):

c5 cc –> TS_RFX_FRAME_END::CodecChannelT::blockType = WBT_FRAME_END

08 00 00 00 –> TS_FRAME_END::CodecChannelT::blockLen = 14

01 –> TS_FRAME_END::CodecChannelT::codecId = 1

00 –> TS_FRAME_END::CodecChannelT::channelId = 0

The server has sent a frame that is delineated by TS_RFX_FRAME_BEGIN and TS_RFX_FRAME_END

messages. The frame contains a single region, which has a single tileset. This tileset, in turn, consists of one 64x64 tile. The compressed sizes, in bytes, for the YCbCr components of this tile are (294, 317, 328).

4.2.4 Sample Decode Data Flow Sequence

The following sections present a sequence of annotated dumps of an encoded tile as it goes through the steps of the decoding algorithm. The sequence starts with the TS_RFX_TILESET (section 2.2.2.3.4) message, which contains the encoded tile data, and ends with the resulting decoded 64x64 XRGB image.

4.2.4.1 Input TS_RFX_TILESET Message

The following is an annotated dump of a TS_RFX_TILESET (section 2.2.2.3.4) message containing a single encoded 64x64 tile.

00000000 c7 cc 3e 0b 00 00 01 01 c2 ca 00 00 51 50 01 40

00000010 01 00 23 0b 00 00 66 66 77 88 98 c3 ca 23 0b 00

00000020 00 00 00 00 00 00 00 00 ae 03 cf 03 93 03 c0 01

00000030 01 15 48 99 c7 41 a1 12 68 11 dc 22 29 74 ef fd

00000040 20 92 e0 4e a8 69 3b fd 41 83 bf 28 53 0c 1f e2

00000050 54 0c 77 7c a3 05 7c 30 d0 9c e8 09 39 1a 5d ff

00000060 e2 01 22 13 80 90 87 d2 9f fd fd 50 09 0d 24 a0

58 / 142


00000070 8f ab fe 3c 04 84 c6 9c de f8 80 c3 22 50 af 4c

00000080 2a 7f fe e0 5c a9 52 8a 06 7d 3d 09 03 65 a3 af

00000090 d2 61 1f 72 04 50 8d 3e 16 4a 3f ff fd 41 42 87

000000A0 24 37 06 17 2e 56 05 9c 1c b3 84 6a ff fb 43 8b

000000B0 a3 7a 32 43 28 e1 1f 50 54 fc ca a5 df ff 08 04

000000C0 48 15 61 d9 76 43 f8 2a 07 e9 65 f7 c6 89 2d 40

000000D0 a1 c3 35 8d f5 ed f5 91 ae 2f cc 01 ce 03 48 c0

000000E0 8d 63 f4 fd 50 20 2d 0c 9b b0 8d 13 c0 8a 09 52

000000F0 1b 02 6e 42 3b d0 13 4e 84 01 26 88 6a 04 84 34

00000100 2a a5 00 ba 54 48 58 ea 54 02 b4 1d a7 fa 47 82

00000110 ec 7a 77 fd 00 92 66 62 04 a6 9b ff f6 80 c0 69

00000120 01 c2 3e 90 14 20 2f fc 40 96 59 58 0c b1 13 68

00000130 20 2e b5 f5 df ff f8 fc 56 88 60 24 53 b5 41 46

00000140 5f f8 f1 7e de 4a 08 97 e0 55 03 8f e5 75 61 03

00000150 f2 e1 90 01 a2 8e 88 04 98 05 93 6b ff ea c0 60

00000160 a1 88 04 49 bf f7 ff 8c b4 59 90 80 30 64 53 ff

00000170 f5 c4 48 da da cb 80 38 61 57 b2 af 00 e8 7b 46

00000180 e6 d8 02 03 8a 06 18 14 32 83 d0 8a ee bc 81 b4

00000190 28 c4 7f f9 a1 69 00 91 c5 51 ff fe 3f e9 f1 70

000001A0 30 24 10 a7 cb 1f 8a 24 93 ed 83 00 36 20 d1 50

000001B0 e7 d8 ad 58 20 09 22 80 d0 ca 5d 1a d7 f1 60 75

000001C0 2a f2 d7 f8 c0 32 45 86 00 43 01 fe 80 f7 42 81

000001D0 74 84 4c a1 60 4c cb 14 58 01 4d 18 a1 aa 47 0e

000001E0 11 1a 40 7d 41 02 e3 30 cd 33 81 34 06 46 83 a2

000001F0 47 1c 04 aa 20 12 a2 8b 81 c4 9c a0 2e 06 32 f8

00000200 86 85 01 e8 70 f9 46 09 6a bf e0 f5 a4 c8 78 e7

00000210 d2 97 0b bc 3c 97 ff d5 40 94 b2 c1 18 18 11 1f

00000220 43 c1 18 c3 83 7f 9a 31 c4 8e 70 56 da f6 17 de

00000230 d1 02 0d 42 21 13 dc 3a 3c 40 9e f4 01 43 ea 0c

00000240 46 73 a2 7b 0c 80 ff e4 ad 2e 09 b4 63 b0 8c 54

00000250 59 fa ac 76 36 10 05 f0 98 88 83 42 00 20 71 cc

00000260 c1 a9 97 3e 5a 0d 04 50 92 23 20 0d 0a 1c 57 d7

00000270 ff 10 f2 03 0f 58 1b a5 11 f8 f1 b4 12 db 1a 48

00000280 56 1f e3 c7 50 e9 16 b4 bc b0 40 93 ea b5 5b 2f

00000290 fc 50 0a 6f cc 25 e0 06 ab 5f 24 fe 8b cb 42 43

000002A0 7e 69 02 25 c7 38 00 6e e5 80 a8 a4 30 44 15 8f

000002B0 e9 0c d3 a6 c2 14 34 4a fe 03 7f 06 a5 91 02 54

000002C0 f1 a1 a1 53 bf 11 f2 8f 83 67 80 09 08 12 3f fd

000002D0 44 91 c2 83 30 50 07 02 82 4d 31 34 06 41 79 6f

000002E0 f0 cc 03 79 00 2c 05 24 ec 8d 29 15 af 44 c8 eb

000002F0 4f e1 fd f1 41 48 81 08 af fe 51 48 ce e7 f9 b6

00000300 0a 30 83 11 f0 0c 3b d2 a6 24 24 ef 25 fa 5a 3e

00000310 92 3e 79 0e 35 61 c8 aa 1c 2e 9a 27 7f ff f0 7d

00000320 30 5b bc 91 ff fe 43 24 28 66 a7 70 99 28 6e 2b

00000330 18 2b d4 a1 77 3b 96 9f f7 eb be 1f 04 34 75 84

00000340 31 42 4c 65 aa 09 50 a0 c4 51 31 d3 26 3a 1b f4

00000350 6e 4a 4e 17 25 84 78 7d 2c 3f 46 18 ca 5f f9 e5

00000360 38 2f d8 71 94 94 e2 cc a3 15 b0 da a9 cb 58 e4

00000370 18 77 93 8a 51 c6 23 c4 4e 6d d9 14 1e 9b 8d bc

00000380 cb 9d c4 18 05 f5 a9 29 f8 6d 29 38 c7 44 e5 3a

00000390 cd ba 61 98 4a 57 02 96 42 02 d9 37 11 de 2d d4

000003A0 3f fe 61 e7 33 d7 89 4a dd b0 34 47 f4 dc ad aa

000003B0 c9 9d 7e 6d 4b cc dc 17 89 57 fd bb 37 75 47 5a

000003C0 ec 2c 6e 3c 15 92 54 64 2c ab 9e ab 2b dd 3c 66

000003D0 a0 8f 47 5e 93 1a 37 16 f4 89 23 00 00 b0 33 56

000003E0 fa 14 1e ff 48 7a 7e 0f 10 1f f4 91 c8 10 56 84

000003F0 ff 08 ec b4 ac 0e 0f ff ad c5 e0 1a 2f 82 04 9f

00000400 91 c2 0e fe 48 36 79 01 42 14 ff fe 30 f0 08 18

00000410 f1 81 45 9a 60 c1 79 f0 14 12 10 ce ea 31 5a ff

59 / 142


00000420 fc 20 13 82 2f c9 02 1f 81 cb 00 e1 10 d2 b4 be

00000430 87 ff b0 1e 27 81 b7 04 06 3c c2 04 f6 06 0e 28

00000440 bc 40 bf 12 1e 86 d4 6a 7f 18 1b 96 85 4c 16 80

00000450 df 2c a5 8d 86 a3 4a 8a b4 1b a1 38 a9 d5 ff ff

00000460 ea 06 20 d2 95 1e f4 2f b2 12 0e 61 78 4a 17 52

00000470 5d e4 25 1f fe c0 b3 1f ff ff ec 02 82 80 90 41

00000480 88 de 48 2c 42 52 0b 2f 43 7e 50 78 f2 67 78 41

00000490 34 3d c8 0f 67 a1 eb 21 fe c0 1f 22 60 41 6c 00

000004A0 92 4b 60 10 d0 0d 01 35 05 0e 87 a2 a0 5d 1f a3

000004B0 af 7f f1 be 8f cd a5 00 1c 10 40 15 76 81 05 ef

000004C0 ee 00 60 84 00 99 40 4a 82 17 e9 fc c4 7f ff fd

000004D0 04 80 06 06 dc af a7 7e 94 75 74 01 00 e0 91 00

000004E0 85 7f 8e d6 0b 20 21 30 ca 62 8e 07 04 e9 45 40

000004F0 5f 47 4a 30 15 41 cb df ff fc bf c3 b4 46 6a 01

00000500 40 d0 a7 34 18 24 1c 2a 45 fe a8 05 08 61 fd a8

00000510 80 71 01 25 9c c1 47 17 37 02 7a 15 ff f3 01 45

00000520 7f d6 80 60 83 67 f8 9d 2f f4 dd 8c 30 01 51 42

00000530 bc 43 7a 6b 9f 84 1e 00 48 c1 e0 b7 e0 7e 99 f2

00000540 4a e9 40 02 81 c3 00 24 3a c5 52 0f 91 c8 68 25

00000550 40 99 a4 25 1a 04 d0 a2 91 dd eb 93 00 21 49 24

00000560 8b 40 75 38 14 a1 fd 3f 88 25 bf 32 00 e3 19 fc

00000570 b9 f8 6f 81 c0 01 b3 93 20 09 08 25 84 e1 34 d4

00000580 1b 48 88 11 a0 15 59 d7 07 81 81 3b a1 40 2e 2f

00000590 48 70 09 c4 76 49 0f 2e 50 2e 46 19 a4 16 a2 1b

000005A0 84 a2 89 58 fc 4f 3f 40 90 4c a3 01 32 09 02 80

000005B0 9c 91 13 2c ba de 5d 99 f2 ff ff 3d 5a 1f a9 02

000005C0 90 8f f3 08 bd 01 f8 d0 2a 95 41 0c 40 0a 20 c4

000005D0 d4 cc 6b 0f f0 80 b1 5d 28 3d 08 c2 f8 31 02 49

000005E0 88 14 28 ed e8 86 3b 00 9f 95 06 37 15 a4 59 c8

000005F0 80 b6 10 f0 e5 b8 18 00 56 1c ff 95 21 0e 7f 2b

00000600 c5 08 59 10 e1 46 31 8d ec e0 a1 99 bb 21 ff fe

00000610 30 10 d0 05 e3 08 50 fc f3 0e 00 8d 68 8e 07 a6

00000620 80 34 42 ed 1f 88 00 f0 8a 21 ae f7 fb 80 28 86

00000630 0f ff ff 82 ea 47 95 91 e0 04 01 44 0c 29 ff 0e

00000640 33 e8 c0 54 04 23 fc 81 5b f0 3c 07 10 70 30 d8

00000650 21 6f ef de 46 09 43 fa 5f ff 0d 72 30 dd 00 db

00000660 e4 48 24 97 08 46 b1 49 c4 4d 80 12 60 ff a4 a6

00000670 ff f6 8c 00 40 05 02 b4 0f f0 3e fc 84 38 81 94

00000680 8b fe 49 ef c0 10 49 88 28 a2 1c 2a 8b 64 d4 86

00000690 d7 ff ff ff eb 91 6b 11 10 00 69 4c bf b4 1c d8

000006A0 00 07 16 80 60 0a 1c 82 42 27 82 43 c9 0a 64 20

000006B0 5a 5f 4e bf 8c 38 82 36 02 07 72 79 07 23 b4 bb

000006C0 57 5f e8 04 dd 39 e9 07 95 be 04 2b dd 8e 22 dc

000006D0 14 2c 61 a3 a9 cd 4f 82 5d a0 44 df f4 96 ff f5

000006E0 2b ff fe 01 19 d2 a2 9e 43 a5 7f f0 4c 4c 2b 3c

000006F0 33 e2 55 ff 04 06 29 2c 0d 22 5d 7c 93 ba 18 af

00000700 f9 32 a6 c3 99 46 79 e3 06 a6 38 8b 92 22 4b db

00000710 1b 36 20 b0 6c 20 ce 37 42 e1 66 d4 49 34 42 8b

00000720 fa 9c 12 99 dc 06 87 fa 46 f8 2f 04 a9 d8 82 07

00000730 a6 30 0f c0 df 35 e8 90 f0 ff ff a8 e0 d7 02 60

00000740 1a c3 20 28 a2 31 29 3c eb 04 a5 dd 48 0e 82 a4

00000750 b6 56 22 06 57 e0 da 10 27 31 0e 11 77 fe 02 60

00000760 16 48 81 8c 0d 05 17 7f cb bb 7e 25 2a 41 fd 8a

00000770 7f c9 36 7c e0 98 7e 92 ef 7e 06 03 13 3e 20 3a

00000780 bf 4c c3 0f 2e 80 74 bf 39 3c f0 a6 b2 e9 3f 41

00000790 55 1f 2c f5 d2 7e 8c ae 4e aa 61 3c bc 3f c4 c7

000007A0 36 dc 23 c8 b8 52 e2 8a 80 18 00 00 b2 46 a2 56

000007B0 0d 12 94 aa bd 01 07 ff fa 34 0c 5f f8 0c 12 50

000007C0 af d6 d1 89 40 a4 ff e0 ce c4 49 25 9d c1 ff 7e

60 / 142


000007D0 60 24 5d cc 10 c0 be 5a 12 d3 c3 fe 2d 40 7c 28

000007E0 9e 71 01 d2 6e 86 0b c8 f2 9b 45 08 4c 04 52 7e

000007F0 f2 7e d9 cc 0b 1c 20 80 ae af fe b0 6d 23 f2 41

00000800 e3 2e 20 11 4b 74 89 dd ff a8 38 a3 95 82 15 f0

00000810 d0 d5 f1 92 8e ee c0 26 81 e9 47 ff ee 0d 20 34

00000820 31 3a ef 40 b2 29 47 19 7f 04 27 f1 90 85 09 86

00000830 7d 42 e2 54 5d 5f e8 0e d0 2c aa 16 bf 04 a7 f8

00000840 a2 46 0b 08 7a 79 e9 28 62 7c 33 f4 0b 14 82 fa

00000850 61 eb c1 ff 4c a4 11 7f 03 68 44 c1 1f 81 3a 6c

00000860 77 95 02 2b 53 80 e5 10 1e 90 e8 fd 1f a6 40 0b

00000870 13 ff 4e 4d 7f 52 e8 af 9a c1 80 0f 0a 14 02 3c

00000880 c0 09 13 e7 dc c0 1a 28 a0 e4 83 8e 03 88 d5 af

00000890 1a bd 91 00 b7 4e ba df f8 db cc 02 43 c4 14 2a

000008A0 3f c8 0d 09 1c 44 f4 01 3c ca 28 56 80 a6 85 00

000008B0 ea 3e 8f eb 9f fc 6e 07 c4 e0 30 78 a0 1e 6f 54

000008C0 78 51 ff 56 4a 01 47 02 4c 21 3b fb 90 0a cc 1d

000008D0 d2 47 ff fc 70 18 22 c0 b9 2f e9 7f 91 d3 66 2f

000008E0 80 2c 24 a7 fa 84 51 ab 6b 72 00 ab 33 04 cf 43

000008F0 ff 17 51 84 0c 01 50 10 8f 90 34 41 44 84 8e 08

00000900 19 04 48 50 84 38 3d 02 52 f9 7c d2 d0 1f 13 42

00000910 a0 21 41 c4 02 02 3d 09 c8 fd 60 7d 35 4f 7f ff

00000920 f9 97 6a d8 00 c3 83 00 09 50 4b 90 8a c7 94 4d

00000930 47 c1 62 32 28 24 09 52 2e 2e 1c 96 44 a0 09 c8

00000940 ce 64 a9 1c 19 0e 52 3e 3e 19 93 a0 36 26 22 08

00000950 9a 00 dd 66 3a 93 d5 89 d1 40 06 d4 a8 22 73 7b

00000960 3d 3f e3 04 94 ff ff ff ff 0c 56 77 ac e0 c4 06

00000970 1f b8 a5 80 fd 68 1c 32 16 03 de 71 2a 3d 14 19

00000980 be c2 88 d9 24 92 5f c5 90 0a 85 c2 3f 87 03 a8

00000990 26 17 c4 06 86 12 87 76 0a 48 16 ed 96 93 ec 1b

000009A0 30 73 e8 1a 3f ff 4d ce 40 f3 0c 51 4b 84 9e 67

000009B0 2b 15 40 1a a0 fc 10 0f d8 81 35 87 ff 98 0f 40

000009C0 00 ba c0 71 e2 00 18 28 b3 82 cc 80 6a a0 43 ff

000009D0 2d d6 04 8a 68 ff ff ff fc 1a f3 1a 2a 06 c0 01

000009E0 40 0c 30 c1 d0 d7 4f cb 74 1f 07 d3 b4 0d 88 98

000009F0 ea da 9f ce 2b 3c 55 b3 40 14 ff ff ff ea db 9b

00000A00 92 d8 68 08 0b 41 09 26 40 8c f1 b0 9a 98 c0 80

00000A10 8b f0 3d e7 ec 19 68 21 03 29 7f e1 6d 4c 0f 01

00000A20 d1 51 01 1a 50 2a 59 27 80 c1 6e 33 f1 80 e1 49

00000A30 08 e9 17 ff ff ff 80 5a 10 10 36 5e ca f8 3a 00

00000A40 1e b0 06 84 01 f3 07 1b 4a c0 1e 21 43 8e a5 55

00000A50 77 c7 65 7c c2 df 5e 0c 42 20 d2 48 61 c8 1c 65

00000A60 f8 fe 4c 88 71 1f 82 50 81 a3 54 09 13 28 52 f5

00000A70 e0 82 c3 06 7f fa 2c cf f8 f4 7f ff fd 01 49 a4

00000A80 b8 de 62 84 fe ed 65 1f 3c 3c b2 50 76 30 5b 03

00000A90 c0 08 a6 64 90 c8 cd 14 6e 69 46 7a c6 1c 87 d7

00000AA0 48 7b 49 05 2d 5e 7f cb 67 f0 d9 0d 1e 9e 53 b7

00000AB0 64 a5 a5 10 39 06 11 3f b1 a9 a6 e8 4d 47 77 da

00000AC0 43 76 89 45 09 70 c2 38 0f 09 6f e7 2d 82 35 07

00000AD0 fe 64 18 2e b8 04 42 54 80 43 12 6c 9a 55 c9 0a

00000AE0 a0 79 47 52 65 2a ff 50 11 c9 4e fe 5b 30 a4 e8

00000AF0 30 63 ff 21 12 1b dc 1c 01 41 51 1f ff fa c3 e3

00000B00 55 f1 66 e2 d5 78 5e fa 4d f2 61 01 26 15 a9 f9

00000B10 d9 32 41 90 36 4e ae e3 0b 16 56 8c 6e 42 5d d8

00000B20 1e fe 1d 40 3a 50 9f 09 14 eb 6e 48 7a 91 88 7b

00000B30 7d 8f 72 42 39 b0 1c 65 18 23 8b 60 30 00

TS_RFX_TILESET message (section 4.2.4.1).

61 / 142


c7 cc -> TS_RFX_TILESET::CodecChannelT::blockType = WBT_EXTENSION

3e 0b 00 00 -> TS_RFX_TILESET::CodecChannelT::blockLen = 2878

01 -> TS_RFX_TILESET::codecId = 1

00 -> TS_RFX_TILESET::channelId = 0

c2 ca -> TS_RFX_TILESET::subtype = CBT_TILESET

00 00 -> TS_RFX_TILESET::idx = 0x00

51 50 -> TS_RFX_TILESET::properties

TS_RFX_TILESET::properties::lt = TRUE (1)

TS_RFX_TILESET::properties::flags = VIDEO_MODE (0)

TS_RFX_TILESET::properties::cct = COL_CONV_ICT (1)

TS_RFX_TILESET::properties::xft = CLW_XFORM_DWT_53_A (1)

TS_RFX_TILESET::properties::et = CLW_ENTROPY_RLGR3 (4)

TS_RFX_TILESET::properties::qt = SCALAR_QUANTIZATION (1)

01 -> TS_RFX_TILESET::numQuant = 1

40 -> TS_RFX_TILESET::tileSize = 64

01 00 -> TS_RFX_TILESET::numTiles = 1

23 0b 00 00 -> TS_RFX_TILESET::tilesDataSize = 2851

66 66 77 88 98 -> TS_RFX_TILESET::quantVals

TS_RFX_TILESET::quantVals::LL3 = 6










TS_RFX_TILE message (section 2.2.2.3.4.1).

c3 ca -> TS_RFX_TILE::BlockT::blockType = CBT_TILE

23 0b -> TS_RFX_TILE::BlockT::blockLen = 2851

00 -> TS_RFX_TILE::quantIdxY = 0

00 -> TS_RFX_TILE::quantIdxCb = 0

00 -> TS_RFX_TILE::quantIdxCr = 0

00 00 -> TS_RFX_TILE::xIdx = 0

00 00 -> TS_RFX_TILE::yIdx = 0

ae 03 -> TS_RFX_TILE::YLen = 942

cf 03 -> TS_RFX_TILE::CbLen = 975

93 03 -> TS_RFX_TILE::CrLen = 915

0000002e:000003db -> TS_RFX_TILE::YData

000003dc:000007aa -> TS_RFX_TILE::CbData

000007ab:00000b3d -> TS_RFX_TILE::CrData

4.2.4.2 Entropy Decoded Data

The following are dumps of the Y, Cb, and Cr components of the tile after they are decoded using

the RLGR3 (section 3.1.8.1.7.2) algorithm. The decoded data for each component has 4,096 (64x64) coefficients, and they contain the quantized DWT sub-bands (see the figure illustrating three-level DWT decomposition in section 3.1.8.1.4) at the following ranges.

00000000:000003FF -> HL1 (32x32 coefficients)

00000400:000007FF -> LH1 (32x32 coefficients)

00000800:00000BFF -> HH1 (32x32 coefficients)

62 / 142


00000C00:00000CFF -> HL2 (16x16 coefficients)

00000D00:00000DFF -> LH2 (16x16 coefficients)

00000E00:00000EFF -> HH2 (16x16 coefficients)

00000F00:00000F3F -> HL3 (8x8 coefficients)

00000F40:00000F7F -> LH3 (8x8 coefficients)

00000F80:00000FBF -> HH3 (8x8 coefficients)

00000FC0:00000FFF -> LL3 (8x8 coefficients)

4.2.4.2.1 Y Component Data

The following is a dump of the Y component data, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000010 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000020 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000030 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000040 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000050 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000060 +1 +0 +2 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0

00000070 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 +0 +0 +0

00000080 +0 +0 +1 +0 +0 +0 +2 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000090 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000000A0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 +0 +0 +0 +0 +0

000000B0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +1 +0 +0

000000C0 +0 +0 +0 +0 +0 +0 -3 +0 +0 +0 +1 +0 +0 +0 +0 +0

000000D0 +0 +2 +0 +0 +0 +0 +0 +0 +0 +1 +0 -2 +4 -5 -1 +0

000000E0 +0 +0 +0 +0 +0 -1 -3 +0 +0 +0 +0 +0 +0 +0 +0 +0

000000F0 +0 -3 +0 +3 +0 +0 +0 +0 +0 +0 -1 +4 +4 -5 -1 +0

00000100 +0 +0 +0 +0 +0 -2 +5 +0 +0 +0 +0 +0 +0 +2 +1 +0

00000110 +2 -5 -4 +1 +0 +0 +0 +0 +0 +0 +1 +3 -1 +5 +0 -1

00000120 +0 +0 +0 +0 +0 -2 -2 -3 +0 +0 +0 +0 +0 +3 +0 +0

00000130 +7 +0 -4 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 -1 +2 -1

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00000F10 +0 +4 +5 -13 -53 -3 -2 +0 -2 -15 -7 +25 +8 +3 +7 -25

00000F20 +26 -12 +5 +20 +6 +7 -5 -13 +2 -2 +5 -54 +10 -2 +30 +3

00000F30 -46 +11 -9 -1 -2 +1 -18 -2 +8 -3 +3 -5 -4 -1 -5 -2

00000F40 -3 +0 +1 -10 -3 +1 -1 +1 -5 -1 -3 +3 +7 -14 -13 +10

00000F50 +0 -1 +11 +2 +5 +2 +12 +0 -8 +24 -21 -49 -4 +10 +9 +31

00000F60 -1 +5 +10 +1 +13 -57 -52 +9 +12 -6 -18 +5 +1 -3 -4 -1

00000F70 +13 +21 +8 +11 +3 +7 +7 -2 -3 -1 +0 +2 -14 -19 -7 +1

00000F80 -1 -1 -3 -2 +0 +0 -1 -1 -1 -7 +3 +4 +7 -1 -6 -14

00000F90 -1 -7 +3 -12 -16 -2 +2 -1 -9 +1 +7 -21 +25 -4 -2 -23

00000FA0 +2 +2 +3 -4 +22 -4 +5 -4 -2 -2 +4 -7 +0 +0 +3 +2

00000FB0 +17 -6 +7 +5 +3 +1 -5 +0 +1 +0 +0 +6 +1 -4 +2 +0

00000FC0 -1 +1 -1 -14 +3 +0 -7 -4 +50 -13 -11 +34 -26 -23 -3 -1

00000FD0 +45 -4 +21 +57 -17 -43 -17 -15 +27 -7 +25 +30 -23 +65 -13 -88

00000FE0 +45 -103 +85 +71 -116 +88 -30 -57 +57 -101 +94 +25 +17 +5 +6 -107

00000FF0 +15 -31 +20 -26 +142 -18 -23 -95 +69 -7 -13 -9 +5 +18 -38 -18

4.2.4.2.2 Cb Component Data

The following is a dump of the Cb component data, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

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000000F0 +1 +6 +0 -10 +0 +0 +0 -1 +0 +1 +0 +0 +0 -2 -5 -2

67 / 142


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68 / 142


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69 / 142


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00000C00 +0 +0 +0 +1 +0 +0 +1 -1 +0 +0 +0 +0 +0 +0 +0 +0

70 / 142


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00000C80 +0 -3 +0 +1 +1 +0 +0 +7 +1 -3 +0 -1 -4 +0 +4 +0

00000C90 +0 +3 +0 +0 +0 +0 -2 +10 -7 +4 +0 -1 +3 -24 -2 +0

00000CA0 -1 +4 +0 +2 -1 +0 -5 +10 +2 -1 -3 +4 -1 +11 -1 +0

00000CB0 -4 +1 +0 -1 +0 +0 -2 -6 +0 +0 +1 -2 +0 +24 +0 +0

00000CC0 +1 +2 +1 +0 +0 +0 -1 -17 +0 +0 +0 -1 -26 +0 +0 +0

00000CD0 +0 -1 +0 +0 +0 +0 +22 -2 -1 +0 +0 +2 -7 -3 +0 +0

00000CE0 +0 +0 +0 +0 +0 +0 -1 +2 +1 -1 -2 -4 +8 +0 +0 +0

00000CF0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +3 +2 +0 +0 +0 +0

00000D00 +0 +0 +0 +0 -2 +0 +10 +6 -2 +0 +0 +0 +0 +0 +0 +0

00000D10 +1 +1 +0 +2 -3 -19 -9 -13 -13 +14 -2 +0 +0 +0 +0 +0

00000D20 +1 +1 +0 +0 +1 -1 +0 +0 +0 -2 +14 +2 -2 -2 +6 +8

00000D30 +0 +0 +1 -2 +0 +0 +0 +1 +0 +1 +0 -17 -6 +1 -8 -9

00000D40 +0 +0 +1 -1 +0 +1 +1 -1 +0 +0 +0 -2 -1 +0 +0 -2

00000D50 +0 +0 +1 +1 -1 -8 +0 +3 -1 +0 +1 +1 +3 +1 +0 +0

00000D60 +0 +1 -7 +13 +13 +12 +14 -7 +0 +0 +0 -1 +1 +9 -7 +2

00000D70 +0 +0 -1 +2 +0 +0 -8 +4 +0 -9 +2 +2 +0 +1 -12 +3

00000D80 +0 +0 +0 +0 +0 +0 +0 -2 +1 +9 +10 -4 +2 +35 +4 +0

00000D90 +0 +0 +0 +1 +0 +0 -1 +1 +0 -1 -10 -8 -21 -13 +3 +0

00000DA0 -1 +1 -1 +0 +1 -1 +0 +1 +0 +1 +1 -5 +14 +14 -2 +0

00000DB0 +0 +0 +2 +3 +2 +0 +1 +1 +0 +1 +0 +0 +1 +1 -1 +0

00000DC0 +0 -3 -1 +0 +0 -2 +2 +0 -1 -1 +0 +0 -1 +1 +0 +0

00000DD0 +0 -1 +0 +0 +0 +0 +2 -12 -4 +1 +1 +2 -20 +4 +0 +0

00000DE0 +0 +0 +0 +0 +0 +0 +0 -3 +19 +16 +15 +24 +3 +0 +0 +0

00000DF0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +6 -1 +0 +0 +0 +0

00000E00 +0 +0 +0 +0 +0 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000E10 +0 +0 +0 +4 -1 +0 +0 -1 +3 -2 +0 +0 +0 +0 +0 +0

00000E20 +0 +0 +0 -1 +0 +0 +0 +0 +0 -1 +3 +0 +0 -1 +2 +0

00000E30 +0 +0 +1 +0 +0 +0 +0 +0 -1 +2 +2 -1 +1 -1 +3 +4

00000E40 +0 +0 +1 +2 +0 +0 +0 +1 +2 -1 +0 +0 +0 +0 +1 +0

00000E50 +0 +0 -2 -1 -1 +0 +0 +1 +1 +0 +0 +0 +0 +0 -1 +0

00000E60 +0 +1 -2 +0 +0 +0 +2 -2 +0 +0 +0 -1 +1 -1 +4 +0

00000E70 +0 +0 +0 +0 +0 +0 -2 +0 -1 +0 -1 -1 +1 -1 +3 +0

00000E80 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 -1 +0 +6 +0 +0

00000E90 +0 +0 +0 +0 +0 +0 +0 +0 +1 -1 +0 -2 -2 +0 +0 +0

00000EA0 +0 +0 +0 +0 +0 +0 +0 +1 +0 +0 +1 -2 +0 -2 +0 +0

00000EB0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0

00000EC0 +0 +0 +0 +0 +0 +1 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0

00000ED0 +0 +0 +0 +0 +0 +0 +2 -3 +0 +0 +0 +2 +6 +0 +0 +0

00000EE0 +0 +0 +0 +0 +0 +0 +0 -1 +0 -1 +0 +2 +0 +0 +0 +0

00000EF0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0

00000F00 +0 -9 -1 -2 +5 +1 +1 +0 +1 +33 -2 -2 +5 +1 +2 -3

00000F10 -4 -14 -3 +2 +76 +4 +5 +17 +3 -37 +1 -15 -8 +3 -1 +80

00000F20 -5 +14 -2 -11 +2 +7 -16 +15 -2 +3 -2 +29 -2 +1 -51 -8

00000F30 +6 -4 +3 +4 +6 +4 +35 -1 -1 +1 -2 +8 -3 -7 +17 +1

00000F40 +1 -4 +35 -4 +34 -5 +2 -1 +3 +0 +0 +2 +3 -17 +46 +10

00000F50 -2 +4 -9 -5 -2 +3 +4 +0 +1 +4 +28 +33 +2 -3 +14 -6

00000F60 -1 +0 -4 -1 -7 +38 +60 -5 -3 +2 +6 +1 +4 +4 -3 +1

00000F70 -1 -3 -2 -7 -28 -5 -31 +8 +2 +0 +0 -8 +56 +85 +24 -3

00000F80 +0 -10 +3 -4 +4 +2 +1 +0 +1 +4 +2 +4 +15 +10 +6 -9

00000F90 -1 -1 -4 +1 +5 +2 +0 +4 +1 +13 -3 +10 -11 -4 +2 +7

00000FA0 -1 +0 -2 +1 -14 -3 +2 +2 +0 -1 -1 +3 +0 -5 -9 -4

00000FB0 -2 +2 -5 -28 +1 +7 +17 +1 +0 +0 +0 -18 +5 +15 -6 +0

71 / 142


00000FC0 +55 -4 +34 -14 +18 -33 +7 -1 -16 +19-109 -29 +19+123 +10 -6

00000FD0 -31 +13-129 +32 +31 -43 +7 +9 +83 -29 -34 +15 +32 -44 -12 -18

00000FE0 +79 +31 -21 -40 +58 -51 -33 +63 -8 +35 -31 -13 -10 -20 -44+102

00000FF0 -11 +9 +2 +17-136 +4 -58+208 -49 +6 +4 +11 -83 -38 +84 +54

4.2.4.2.3 Cr Component Data

The following is a dump of the Cr component data, as shown in the figure illustrating three-level

DWT decomposition in section 3.1.8.1.4.

00000000 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000010 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000020 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000030 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000040 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 -1 +0 +0 +1 -1 +0

00000050 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000060 +0 +0 +1 +0 +0 +0 +0 +0 +2 +0 +0 +0 +0 +0 +1 +0

00000070 +2 -1 +2 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000080 +0 +0 +1 +0 +0 +0 -13 +2 -1 +0 +0 +0 +0 +0 +0 +0

00000090 +0 +1 -10 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000000A0 +0 +0 +0 +0 +0 +1 -1 -1 +0 +0 +0 +0 +0 +0 +0 +0

000000B0 +0 +7 -4 -1 -1 +0 +0 +0 +0 +0 +0 +0 -1 +1 +0 +0

000000C0 +0 +0 +0 +0 +0 +1 +12 +0 +0 +0 +0 +0 +0 +0 +0 +0

000000D0 +0 +8 +2 +0 +0 +0 +0 +0 +0 +0 +0 -1 +3 -3 +3 -1

000000E0 +0 +0 +0 +0 +0 -7 +6 +0 +0 +0 +0 +0 +0 +0 +0 +0

000000F0 -1 -6 +0 +4 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +2 +1

00000100 +0 +0 +0 +0 +0 -7 -4 +0 +0 +0 +0 +0 +0 -2 -1 +0

00000110 +2 -6 -4 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -3 +0

00000120 +0 +0 +0 +0 +1 +9 +1 +2 +0 +0 +0 +0 +0 -2 +0 +0

00000130 +6 +0 -3 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000140 +0 +0 +0 +0 -3 +9 -1 -3 +0 +0 +0 +0 +0 +0 +1 +0

00000150 +0 +1 +5 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +4 +0 +0

00000160 +0 +0 +0 +0 -12 +0 +0 +0 +2 +0 +0 +0 +0 +0 +0 +0

00000170 -6 -3 +3 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0

00000180 +0 +0 +0 +1 +0 +0 +1 +1 +0 +0 +0 +0 +0 +0 +0 +4

00000190 -1 -6 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -4 +0 +0

000001A0 +0 +0 +0 +0 +13 -1 +0 +0 +0 +0 +0 +0 +0 -1 +0 +3

000001B0 +1 +2 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +4 +0 +0 +0

000001C0 +0 +0 +0 +0 -2 +0 +0 -1 +2 +0 +0 +0 +0 +0 -1 +0

000001D0 -1 +5 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 -1 +0 +0

000001E0 +0 +0 +0 -1 +0 +0 -1 +0 +1 +0 +0 +0 +0 +1 -1 +0

000001F0 -3 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 -5 +0 +0 +0

00000200 +0 +0 +0 +2 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +4 +0

00000210 -1 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000220 +0 +0 -1 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 -1 +1

00000230 +7 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +1 +0 +0 +0 +0

00000240 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 -3 -3

00000250 +2 +0 +0 +0 +0 +0 +0 +0 +0 -1 +1 -1 +0 +0 +0 +0

00000260 +0 +0 +1 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +2 +0 -5

00000270 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 -7 +0 +0 +0 +0

00000280 +0 +0 +2 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +2 +1 +3

00000290 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +6 -1 +0 +0 +0 +0

000002A0 +0 -2 +0 +0 +0 +0 -1 -1 +0 +0 +0 +0 +0 -2 -1 +4

000002B0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +3 +1 +0 +0 +0 +0

000002C0 +0 -1 +0 +0 -1 -1 +0 +0 +0 +0 +0 +0 +0 -1 -6 +0

000002D0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 -8 +0 +0 +0 +0 +0

000002E0 +1 +2 +0 +0 +0 +0 +0 +0 +1 +0 +0 +0 +0 +0 -1 +0

72 / 142


000002F0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +5 -4 +0 +0 +0 +0 +0

00000300 -1 +2 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +1 +6 +0

00000310 +0 +0 +0 +0 +0 +0 +0 +0 +0 +7 +1 +0 +0 +0 +0 +0

00000320 -1 +0 +0 +0 +0 +0 +1 +1 +0 +0 +0 +0 +0 -4 +3 +0

00000330 +0 +0 +0 +0 +0 +0 +0 +0 -1 -4 +0 +0 +0 +0 +0 +0

00000340 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -5 -2 +0

00000350 +0 +0 +1 +1 +0 +0 +0 +0 +1 -7 +0 +0 +0 +0 +0 +0

00000360 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +1 +1

00000370 +0 -1 +0 +1 +0 +0 +0 +0 +7 +0 +0 +0 +0 +0 +0 +0

00000380 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -2 +0

00000390 -1 +0 +0 +1 +0 -1 +1 +1 -1 +0 +0 +0 +0 +0 +0 +0

000003A0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000003B0 -1 +0 -1 +0 +1 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0

000003C0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000003D0 +0 +0 +0 +2 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000003E0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000003F0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000400 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000410 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000420 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 -3 -6 -6 -3 +1

00000430 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000440 +0 +0 +0 +0 +0 +0 +0 +1 -10 -5 +11 +9 +6 +5 +9 +11

00000450 -11 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000460 -1 -1 -1 +0 +0 +0 +0 +4 +4 -1 +0 +0 +0 +0 +0 +0

00000470 -1 +11 -10 +2 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000480 -1 -1 -1 +0 +0 +0 -1 +1 +0 +0 +0 +0 +0 +0 +0 +0

00000490 +0 +0 +1 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000004A0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000004B0 +0 +1 -2 +0 +3 -4 +0 +0 +0 +0 +0 +0 -1 -4 -1 -1

000004C0 +0 +0 +0 +0 +0 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0

000004D0 +0 +0 +0 +0 +0 +0 +4 -3 -3 -2 -2 -4 -1 +1 +3 +0

000004E0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 -1 +0

000004F0 +0 +1 -1 +0 +0 +0 +0 -1 +1 +2 +2 +0 +0 +0 +0 +0

00000500 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0

00000510 +0 +0 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +2

00000520 +0 +0 +0 +0 +0 -1 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000530 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -3 +0

00000540 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +2 +1 -1 +1

00000550 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000560 +0 +0 +0 +0 +0 +0 +0 +0 +0 +3 +2 +1 +0 +0 +0 +0

00000570 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000580 +0 +0 +0 +0 -1 +6 +8 -5 -7 -5 -4 -5 -4 +5 +0 +0

00000590 -1 +0 +0 +0 +0 +0 +0 +0 +0 -1 -1 +0 +0 +0 +0 +0

000005A0 +0 +0 +0 +0 -2 -8 +1 +0 -1 +0 -1 -2 +0 +1 -6 +4

000005B0 +0 -1 +1 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 -1 +0 +0

000005C0 +0 +0 +0 +0 -1 +0 +1 +0 +0 +0 +0 +1 +4 -4 +0 +0

000005D0 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +3 +0 +0

000005E0 +0 +0 +0 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +4 -1

000005F0 +1 -4 +5 +0 +0 +0 +0 +0 +0 +0 +0 +1 +2 -1 +0 +0

00000600 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000610 -1 -1 +0 -5 +4 +4 +3 +3 +4 +4 -1 -4 +0 +0 +0 +0

00000620 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 -1

00000630 -1 +4 -5 +0 +1 -1 -3 -3 -1 +1 -3 -5 +1 +0 +0 +0

00000640 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -2 -3 +0

00000650 +1 +0 +0 +5 +0 -5 -6 -5 -1 +6 +4 +0 -1 +0 +0 +0

00000660 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0

00000670 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000680 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 -1

00000690 +1 +0 +0 +0 +0 +0 +0 -1 +0 +0 +1 -1 +0 +0 +0 +0

73 / 142


000006A0 -1 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0

000006B0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 +0 +0 +0 +0 +0 +0

000006C0 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0

000006D0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000006E0 +0 +0 +0 +0 +1 +2 +1 +1 +1 +0 +0 +0 -1 +0 +0 +0

000006F0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +1 +0 +0 +0 +0

00000700 -1 +2 +1 -2 -2 +1 +0 -1 +0 -1 +1 +0 +0 +0 +0 +0

00000710 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000720 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +1 -1 +1 +0

00000730 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 -1 +0 +0 +0 +0 +0

00000740 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +1 +0

00000750 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000760 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -4 +2

00000770 +0 +0 +0 +0 +0 +0 +0 +1 +7 -2 +0 +0 +0 +0 +0 +0

00000780 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1

00000790 -2 -1 +5 +6 +4 +3 -5 -6 +1 +0 +0 +0 +0 +0 +0 +0

000007A0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000007B0 +0 +0 +0 +4 +2 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000007C0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000007D0 +0 +0 +0 +0 -2 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000007E0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000007F0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000800 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000810 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000820 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000830 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000840 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +1 +0 +0 +0 +0 +0

00000850 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000860 +0 +0 +0 +0 +0 +0 +0 +2 -1 +0 +0 +0 +0 +0 +0 +0

00000870 +0 +0 +2 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000880 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000890 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000008A0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000008B0 +0 +1 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 -1 +1 -1 +0

000008C0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000008D0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +1 +0 +0

000008E0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000008F0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000900 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000910 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 -1

00000920 +0 +0 +0 +0 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000930 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000940 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000950 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000960 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000970 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000980 +0 +0 +0 +0 +0 +1 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0

00000990 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000009A0 +0 +0 +0 +0 -2 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1

000009B0 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 +0 +0

000009C0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0

000009D0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

000009E0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0

000009F0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0

00000A00 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000A10 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000A20 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0

00000A30 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +1 +0 +0 +0 +0

00000A40 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0

74 / 142


00000A50 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0

00000A60 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 +0

00000A70 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000A80 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1

00000A90 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 +0 +0 +0 +0

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00000AE0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000AF0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

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00000B20 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000B30 +0 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0

00000B40 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 +0

00000B50 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000B60 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000B70 +0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0

00000B80 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000B90 -1 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000BA0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000BB0 +0 +0 -1 -1 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000BC0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000BD0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000BE0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000BF0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000C00 +0 +0 +0 -1 +0 +0 -1 +1 -1 +0 +0 +0 +0 +0 +0 +0

00000C10 +1 +0 +0 -4 +0 +1 +2 +0 -2 +3 +0 +0 +0 +0 +0 +0

00000C20 -1 -1 +3 +13 -2 +1 -2 +2 +7 -15 -1 +0 +0 +1 -1 +0

00000C30 +0 +0 -3 +25 +2 -1 +0 +0 +20 -7 +1 -1 +0 -2 +6 -3

00000C40 +0 +0 -20 +0 -1 -1 -2 -4 +5 +5 -1 +0 -1 +1 -3 -17

00000C50 +0 +1 -5 -7 +2 +0 -3 -3 -13 +12 +0 +0 +1 +0 +7 -2

00000C60 +0 +1 +28 +0 +1 -1 +2 +10 -16 +1 +0 +1 -1 +0 +3 +1

00000C70 +0 -1 +0 -3 -2 +2 +0 +7 -5 -2 +0 +0 +0 -1 -6 +0

00000C80 +0 -2 +1 -3 -1 -1 +0 -10 -2 +4 +0 +0 +1 -1 -2 +0

00000C90 +0 +3 -1 +0 +0 +1 +3 -12 +9 -5 +0 +0 -2 +16 +1 +0

00000CA0 -1 +2 +0 -4 +2 +0 +7 -11 -2 +1 +0 -1 +0 -7 +0 +0

00000CB0 -3 -1 +0 +1 -1 +0 +2 +6 +0 +0 +0 +0 +0 -16 +0 +0

00000CC0 +1 -1 -1 -1 +1 +0 +1 +12 +0 +0 +0 +0 +18 +0 +0 +0

00000CD0 +0 +0 +0 +0 +0 +0 -14 +1 +0 +0 +0 -2 +4 +2 +0 +0

00000CE0 +0 +0 +0 +0 +0 +0 +1 -1 -1 +3 +1 +3 -5 +0 +0 +0

00000CF0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -3 -1 +0 +0 +0 +0

00000D00 +0 +0 +0 +0 +2 +0 -13 -8 +3 +0 +0 +0 +0 +0 +0 +0

00000D10 -1 -1 +0 -3 +3 +27 +12 +19 +20 -21 +3 +0 +0 +0 +0 +0

00000D20 -1 -1 +0 -1 +0 -1 +0 +0 +0 +0 -5 -1 +1 +1 -3 -4

00000D30 +0 +0 -1 +5 -1 +0 +0 -2 +0 -1 -2 +7 +2 +0 +5 +3

00000D40 +0 +0 -1 +0 -1 +0 -2 +1 -1 -1 +1 +1 -1 +0 -2 +7

00000D50 +0 +0 -1 -1 +3 +5 +1 -2 +2 -1 +0 +0 +1 +0 +0 +0

00000D60 +0 -1 +11 -17 -14 -10 -14 +7 -1 +1 +0 +0 +0 +2 -3 +0

00000D70 +0 +0 +3 +2 +0 +0 +9 -5 +0 +11 -2 -1 -1 -2 +5 -1

00000D80 +0 +0 +0 +0 +1 +0 +0 +3 -2 -11 -10 +2 -2 -18 -3 +0

00000D90 +0 +0 -1 -2 +0 +0 +0 -2 +1 +2 +11 +9 +12 +9 -2 +0

00000DA0 +0 +0 +1 -1 -3 +2 +0 -1 +0 +0 +0 +1 -3 -3 +0 +0

00000DB0 +0 -1 +1 +2 +1 -4 -2 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000DC0 +1 -4 -2 -1 -1 +0 +3 +1 +0 +0 +0 +0 +0 -1 +0 +0

00000DD0 -1 +1 +0 +0 +0 +0 +0 +4 +3 +0 -1 +0 +14 -3 +0 +0

00000DE0 -1 +0 +0 +0 +0 +0 +0 +2 -11 -11 -9 -15 -2 +0 +0 +0

00000DF0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 -6 +1 +0 +0 +0 +0

75 / 142


00000E00 +0 +0 +0 +0 +0 +0 -1 +1 +0 +0 +0 +0 +0 +0 +0 +0

00000E10 +0 +0 +0 -6 +1 +0 -1 +2 -4 +3 +0 +0 +0 +0 +0 +0

00000E20 +0 +0 +0 +0 +0 +0 +0 +0 -1 +1 -1 +0 +0 +0 -1 +0

00000E30 +0 +0 -1 -1 +0 +0 +0 +0 +0 -1 -1 +0 +0 +0 -1 -2

00000E40 +0 +0 -2 -2 +0 +0 +0 -1 -2 +1 +0 +0 +0 +0 -2 -3

00000E50 +0 +0 +3 +1 +1 +0 +0 -1 -1 +0 +0 +0 +0 +0 +0 +0

00000E60 +0 -1 +3 +0 +1 -1 -2 +2 +0 +0 +0 +0 +0 +0 -1 +0

00000E70 +0 +0 +1 -1 +0 -1 +2 +1 +2 -1 +0 +0 +0 -1 -1 +0

00000E80 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 +0 +1 +0 -4 +0 +0

00000E90 +0 +0 +0 +0 +0 +0 +0 +0 -1 +1 +0 +0 +1 +0 +0 +0

00000EA0 +0 +0 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +0 +0 +0

00000EB0 -1 +0 +1 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0

00000EC0 +1 +0 +0 +0 +0 +0 -1 +0 +0 +0 +0 +0 +1 +0 +0 +0

00000ED0 +0 +0 +0 +0 +0 +0 +0 +2 +0 +0 +0 -1 -4 +0 +0 +0

00000EE0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 -1 +0 +0 +0 +0

00000EF0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +1 +0 +0 +0 +0 +0

00000F00 +0 +13 +4 +5 -8 -2 +0 +1 -1 -43 -7 -3 -4 +1 -1 +1

00000F10 +5 +22 -1 -1 -54 -2 -2 -4 -4 +52 -5 +17 +7 +1 -3 -33

00000F20 -4 -25 +1 +15 +3 +2 +2 -11 +4 -14 +5 -34 +6 -1 +35 +6

00000F30 +11 +4 -2 -5 -4 -7 -21 +1 -2 +0 +1 -6 +1 +3 -11 +0

00000F40 -2 +6 -45 +14 -45 +4 -1 +1 -3 +1 +1 -7 -7 +5 -19 -4

00000F50 +2 -4 +8 +4 -1 +3 +0 +0 +2 -15 -27 -36 -2 +5 -1 +14

00000F60 +2 -5 +7 +0 +8 -39 -41 +6 +1 +4 -12 -6 +0 -2 -2 -1

00000F70 -4 -5 -3 +6 +14 -2 +22 -5 -2 -1 +0 +5 -33 -51 -15 +2

00000F80 +0 +14 -1 +8 -5 -1 +0 +0 -1 -2 -5 -5 -10 -5 -3 +2

00000F90 +2 +5 +5 -4 -8 -1 +0 -3 +2 -13 +5 -14 +15 -1 -1 -12

00000FA0 +1 -1 +2 -3 +15 -1 +3 -3 +1 +5 -4 -2 +0 +2 +6 +2

00000FB0 -4 +0 +2 +15 +0 -5 -12 +0 +0 +0 +0 +12 -3 -10 +4 +0

00000FC0 -68 +7 -44 +27 -28 +42 -3 +3 +1 -23+147 +12 +8-162 +6 +3

00000FD0 +10 -12+147 -60 -13 -24 -1 +1 -44 +40 +33 -24 -22 +48 -14 -22

00000FE0 -38 -3 -1 +61 -68 +60 -4 -37 +1 -18 +2 +29 +29 +8 +18 -74

00000FF0 +10 +5 -17 -22+108 -16 +33-124 +22 -7 +0 -4 +48 +26 -46 -33

4.2.4.3 Inverse Quantization/DWT

The following sections present the three-level inverse DWT of the Y component data. The inverse DWT process follows the steps shown in the figure illustrating three-level DWT decomposition in

section 3.1.8.1.4, in reverse order. The inverse DWT steps for the Cb and Cr components are the same as for the Y component, so the intermediate data dumps for these two components have been omitted, but their final reconstructed data is presented in sections 4.2.4.4 and 4.2.4.5.

4.2.4.3.1 Level 3 Sub-bands

The following are annotated dumps of the four level 3 de-quantized sub-bands (LL3, LH3, HL3, and HH3). The LL3 sub-band first gives inverse differential encoding before being de-quantized (section

3.1.8.1.6). The level 3 sub-bands have dimensions of 8x8.

All the coefficients are displayed in 11.5 fixed-point representation.

4.2.4.3.1.1 LL3

The following is a dump of the LL3 sub-band, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 -32 +0 -32 -480 -384 -384 -608 -736

00000008 +864 +448 +96 +1184 +352 -384 -480 -512

76 / 142


00000010 +928 +800 +1472 +3296 +2752 +1376 +832 +352

00000018 +1216 +992 +1792 +2752 +2016 +4096 +3680 +864

00000020 +2304 -992 +1728 +4000 +288 +3104 +2144 +320

00000028 +2144 -1088 +1920 +2720 +3264 +3424 +3616 +192

00000030 +672 -320 +320 -512 +4032 +3456 +2720 -320

00000038 +1888 +1664 +1248 +960 +1120 +1696 +480 -96

4.2.4.3.1.2 HL3

The following is a dump of the HL3 sub-band, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 +0 +0 -64 -64 +32 +0 -32 -64

00000008 +0 -32 +256 +192 +96 +0 -32 -192

00000010 +0 +128 +160 -416 -1696 -96 -64 +0

00000018 -64 -480 -224 +800 +256 +96 +224 -800

00000020 +832 -384 +160 +640 +192 +224 -160 -416

00000028 +64 -64 +160 -1728 +320 -64 +960 +96

00000030 -1472 +352 -288 -32 -64 +32 -576 -64

00000038 +256 -96 +96 -160 -128 -32 -160 -64

4.2.4.3.1.3 LH3

The following is a dump of the LH3 sub-band, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 -96 +0 +32 -320 -96 +32 -32 +32

00000008 -160 -32 -96 +96 +224 -448 -416 +320

00000010 +0 -32 +352 +64 +160 +64 +384 +0

00000018 -256 +768 -672 -1568 -128 +320 +288 +992

00000020 -32 +160 +320 +32 +416 -1824 -1664 +288

00000028 +384 -192 -576 +160 +32 -96 -128 -32

00000030 +416 +672 +256 +352 +96 +224 +224 -64

00000038 -96 -32 +0 +64 -448 -608 -224 +32

4.2.4.3.1.4 HH3

The following is a dump of the HH3 sub-band, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 -32 -32 -96 -64 +0 +0 -32 -32

00000008 -32 -224 +96 +128 +224 -32 -192 -448

00000010 -32 -224 +96 -384 -512 -64 +64 -32

00000018 -288 +32 +224 -672 +800 -128 -64 -736

00000020 +64 +64 +96 -128 +704 -128 +160 -128

00000028 -64 -64 +128 -224 +0 +0 +96 +64

00000030 +544 -192 +224 +160 +96 +32 -160 +0

00000038 +32 +0 +0 +192 +32 -128 +64 +0

77 / 142


4.2.4.3.1.5 Inverse DWT-X (LL3 - HL3)

The following is a dump of the L2 sub-band, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 -32 -16 +0 +0 +0 -336 -416 -520

00000008 -368 -320 -400 -496 -592 -704 -688 -816

00000010 +864 +664 +464 +160 -16 +984 +960 +968

00000018 +208 +80 -432 -448 -464 -496 -400 -784

00000020 +928 +832 +736 +1288 +1328 +2696 +3424 +2784

00000028 +3808 -352 +2272 +1400 +912 +520 +384 +384

00000030 +1280 +1144 +1264 +744 +2144 +1856 +2464 +3576

00000038 +1488 +3216 +3920 +3912 +3520 +2784 +1152 -448

00000040 +1472 +1792 -1216 -456 +1840 +3040 +3600 +3016

00000048 -128 +1768 +2896 +2952 +2112 +1040 +608 -224

00000050 +2080 +624 -1088 +264 +1872 +3008 +3504 +280

00000058 +3968 +4272 +3296 +3104 +3168 +3336 -336 -144

00000060 +2144 -1752 +240 +968 +288 -608 -352 +1800

00000068 +4080 +3648 +3472 +3296 +2992 +344 +0 -128

00000070 +1632 +2120 +1584 +1224 +1248 +1312 +992 +808

00000078 +1264 +1264 +1776 +1112 +576 -24 +16 -112

4.2.4.3.1.6 Inverse DWT-X (LH3 – HH3)

The following is a dump of the H2 sub-band, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 -64 -80 +32 +0 +96 -264 -240 -280

00000008 -64 -16 +32 +8 -16 -40 +64 +0

00000010 -128 -80 +96 -416 -32 +168 -16 +272

00000018 +48 +200 -544 -488 -304 -216 +640 -256

00000020 +32 +0 +96 -192 +416 +504 +208 -360

00000028 +608 -544 +352 +240 +384 +312 -16 -80

00000030 +32 -112 +896 +112 -800 -624 -1344 -2112

00000038 -192 +1496 -16 -72 +384 +760 +1392 -80

00000040 -96 +128 +96 +296 +240 +336 +48 -168

00000048 +128 +416 -2112 -2152 -1680 -384 +272 +16

00000050 +448 +32 -128 -496 -608 +56 +208 -272

00000058 +144 +24 -96 -136 -176 +48 -112 +16

00000060 -128 +1272 +496 -16 +240 +648 +160 +384

00000068 -32 +256 +160 +288 +288 -168 +16 +16

00000070 -128 -24 -48 -24 +0 -16 -32 +88

00000078 -560 -496 -560 -632 -192 +32 +0 +0

4.2.4.3.1.7 Inverse DWT-Y (L2 – H2)

The following is a dump of the LL2 sub-band, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 +32 +64 -32 +0 -96 -72 -176 -240

00000008 -304 -304 -432 -504 -576 -664 -752 -816

00000010 +368 +244 +248 +184 +120 -48 -24 -194

00000018 -172 -190 -240 -340 -472 -596 -624 -736

00000020 +960 +744 +400 +368 -48 +1032 +1088 +972

00000028 +216 -12 -176 -208 -304 -368 -752 -656

78 / 142


00000030 +712 +648 +712 +148 +480 +2032 +2176 +2444

00000038 +1944 +304 +8 -318 -324 -380 +940 -564

00000040 +976 +872 +640 +1592 +1136 +2360 +3328 +2828

00000048 +3480 -180 +2368 +1524 +872 +472 +72 +552

00000050 +1176 +1036 +896 +804 +2568 +3146 +3596 +3100

00000058 +3596 +192 +3764 +3156 +2772 +1984 +236 -68

00000060 +1248 +1200 +768 +784 +2336 +1916 +3032 +4812

00000068 +1280 +2740 +3752 +3828 +3136 +2248 +464 -368

00000070 +1440 +1268 +1320 +286 +628 +1302 +952 +260

00000078 +208 +4768 +3824 +3802 +3716 +3070 +2904 -440

00000080 +1504 +1784 -1712 -660 +2120 +3184 +4248 +4156

00000088 -96 +812 +3960 +4064 +2760 +852 -224 -192

00000090 +1512 +1420 -1200 +444 +2568 +3670 +3908 +1992

00000098 +2124 +3264 -44 -148 +68 +1410 +224 -144

000000A0 +1904 +544 -1072 +364 +2056 +2812 +3376 +500

000000A8 +3832 +4052 +4400 +4248 +4096 +3504 -416 -160

000000B0 +2840 -866 -764 -198 +48 +1038 +1836 +578

000000B8 +4216 +3828 +3728 +3462 +3164 +2050 -408 -120

000000C0 +1984 -2404 +56 +1224 +472 -960 -536 +1744

000000C8 +4024 +3508 +3440 +3220 +2936 +404 +48 -144

000000D0 +1616 +2090 +1700 +1202 +1280 +1314 +516 +1926

000000D8 +2728 +2958 +3028 +2828 +2308 -112 +60 -100

000000E0 +1760 +1496 +1360 +1244 +1128 +996 +928 +572

000000E8 +1560 +1384 +1976 +1284 +528 +44 +8 -120

000000F0 +1504 +1448 +1264 +1196 +1128 +964 +864 +748

000000F8 +440 +392 +856 +20 +144 +108 +8 -120


The following are the dumps of the four level 2 de-quantized sub-bands (LL2, LH2, HL2, and HH2). LL2 is reconstructed from level 3 sub-bands. LH2, HL2, and HH2 are generated by de-quantizing the corresponding decoded sub-bands, as shown in sections 4.2.4.2 and 4.2.4.2.1.


4.2.4.3.2.1 LL2

The LL2 sub-band is the same as that shown in section 4.2.4.3.1.7.

4.2.4.3.2.2 HL2

The following is a dump of the HL2 sub-band, as shown in the figure illustrating three-level DWT

decomposition in section 3.1.8.1.4.

00000000 +64 +0 +0 +0 +0 +0 +0 +0

00000008 +0 +0 +0 +0 +0 +0 +0 +0

00000010 +64 +0 +0 +64 +0 +0 +64 +0

00000018 +0 +0 +0 +0 +0 -64 +0 +0

00000020 -64 -64 +0 -320 +192 -128 +64 +0

00000028 -64 +0 +0 +0 +0 +64 -256 -64

00000030 +0 +0 +64 -320 -128 +64 +64 +64

00000038 +384 -128 -64 +0 +64 -256 +1344 +384

00000040 +0 +0 -320 -64 +64 +128 +256 +256

00000048 +192 +320 +0 +0 -64 +256 -512 -704

00000050 +0 +0 -128 +512 -64 +0 +192 +64

00000058 -1152 +1024 +64 -64 +128 +0 -256 -256

79 / 142


00000060 +0 +0 -384 +64 -192 -64 +64 +896

00000068 -1472 +64 +0 +64 +0 +64 -192 -64

00000070 +0 +0 +0 -320 -128 +192 -64 +704

00000078 -512 -192 +0 +64 +0 -64 -192 +64

00000080 +0 +896 +64 +0 -64 +0 +0 -960

00000088 -128 +448 +64 -64 +64 -192 -64 -64

00000090 -128 -896 +0 +64 +0 +0 +320 -1152

00000098 +896 -448 -64 -64 -128 +832 +64 -64

000000A0 +192 -896 +64 -128 +128 -64 +704 -1024

000000A8 -128 +128 -64 +64 +0 -576 +0 -64

000000B0 +1216 +64 +64 +64 +0 +128 +128 +512

000000B8 +0 +0 +0 +0 +64 -832 +0 +0

000000C0 -384 -192 -64 +0 -128 -128 +384 +832

000000C8 +0 +0 +0 +64 +576 +64 +0 +0

000000D0 -64 +128 +0 +0 +64 +0 -320 +0

000000D8 +0 -64 +0 +0 +64 +64 +0 +0

000000E0 +0 +0 +0 +0 +0 +0 +64 -128

000000E8 -256 +64 +256 +256 -128 +0 +0 -64

000000F0 +0 +0 +0 +0 +0 +0 +0 +0

000000F8 +64 +0 -256 -64 +0 +0 +0 +0

4.2.4.3.2.3 LH2


00000000 +0 +0 +0 +0 +0 +0 +0 +0

00000008 +0 +0 +0 +0 +0 +0 +0 +0

00000010 -128 -64 +64 +64 -64 -192 +0 -128

00000018 -192 +0 +0 +0 +0 +0 +0 +0

00000020 -128 -128 +0 +64 -64 +128 +0 +0

00000028 +0 +64 -64 +64 +0 +64 -512 -64

00000030 +0 +0 +64 -192 +0 +0 -64 +192

00000038 +0 +0 +64 -192 -192 -192 +192 -256

00000040 +0 +0 +0 +64 +0 +0 +192 -192

00000048 +192 -64 +64 +64 +0 +64 -320 +1280

00000050 +0 +0 +0 -64 +128 +448 -64 +0

00000058 +192 -128 +64 +0 +256 -64 +0 +64

00000060 +0 +64 -192 +128 -576 -768 -1216 +640

00000068 -64 +128 +0 -64 +64 +576 -832 +0

00000070 +0 +64 -256 -832 +0 +0 +1024 -448

00000078 +0 +1024 -192 +64 -128 -64 +128 -64

00000080 +0 +0 +0 +64 +64 +0 +0 +256

00000088 -192 -1088 -896 +128 -256 -896 -64 +0

00000090 -64 +64 +0 -64 +0 +64 +64 -128

00000098 +64 +192 +1088 +832 +960 +576 -128 +0

000000A0 +128 -192 +128 +128 -128 +128 +64 -64

000000A8 +64 +0 +0 -128 +320 +448 -64 +0

000000B0 +64 +256 -448 -896 -448 +128 -128 +0

000000B8 +0 +0 +0 +0 +0 -64 +64 +0

000000C0 -192 +1088 +512 -64 +256 +512 -576 +384

000000C8 +0 +64 +0 +0 +0 +0 +0 +0

000000D0 -64 +64 +0 +0 +0 +0 +0 -128

000000D8 -128 +128 +0 +0 +320 -64 +0 +0

000000E0 -64 +0 +0 +0 +0 +0 +0 +0

000000E8 -320 -256 -128 -384 -64 +0 +0 +0

000000F0 +0 +0 +0 +0 +0 +0 +0 +0

80 / 142


000000F8 +0 +0 -448 +64 +0 +0 +0 +0

4.2.4.3.2.4 HH2

The following is a dump of the HH2 sub-band, as shown in figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 +0 +0 +0 +0 +0 +0 +0 +0

00000008 +0 +0 +0 +0 +0 +0 +0 +0

00000010 +0 +0 +0 +128 +0 +0 +0 +0

00000018 +0 +0 +0 +0 +0 +0 +0 +0

00000020 +0 +0 +0 +0 +0 +0 +0 +0

00000028 +0 +0 +0 +0 -128 +0 -512 -128

00000030 +0 +0 +0 +0 +0 +0 -128 -128

00000038 +128 -128 +0 +0 +0 +0 +256 +256

00000040 +0 +0 +0 +384 +0 +0 +128 +128

00000048 -128 +128 +0 +0 +0 +0 -512 -1024

00000050 +0 +0 +0 -128 +0 +0 -128 -128

00000058 -128 +0 +0 +0 +0 +0 +0 +0

00000060 +0 +0 +0 +128 +128 -128 -384 +384

00000068 +0 +0 +0 -128 +128 +0 +0 +0

00000070 +0 +128 -256 +0 +0 -128 +384 +128

00000078 +256 -128 +0 +0 +0 -256 -128 +0

00000080 +0 +0 +0 +0 +0 +0 +0 +0

00000088 +128 +0 +128 +128 +0 -384 +0 +0

00000090 +0 +0 +0 +0 +0 +0 +128 +0

00000098 -128 +256 +0 -128 +128 +0 +0 +0

000000A0 +128 +128 +0 +0 +0 +0 +0 -128

000000A8 +0 +0 +0 -128 +0 -256 +0 +0

000000B0 +256 +256 +128 -128 +0 -128 +0 +0

000000B8 +0 +0 +0 +0 +0 +0 +0 +0

000000C0 -256 +256 +0 +0 +128 -256 +128 -128

000000C8 -128 +0 +0 +0 +0 +0 +0 +0

000000D0 +0 +0 +0 +0 +0 +0 +128 +0

000000D8 +0 +0 +0 -128 -256 +0 +0 +0

000000E0 +0 +0 +0 +0 +0 +0 +0 +0

000000E8 +128 +128 -128 -128 +0 +0 +0 +0

000000F0 +0 +0 +0 +0 +0 +0 +0 +0

000000F8 +0 +0 +128 +0 +0 +0 +0 +0

4.2.4.3.2.5 Inverse DWT-X (LL2 – HL2)

The following is a dump of the L1 sub-band, as shown in the figure illustrating three-level DWT


00000000 -32 +128 +32 +0 -32 -16 +0 -48

00000008 -96 -84 -72 -124 -176 -208 -240 -272

00000010 -304 -304 -304 -368 -432 -468 -504 -540

00000018 -576 -620 -664 -708 -752 -784 -816 -816

00000020 +304 +386 +212 +230 +248 +200 +152 +248

00000028 +88 +20 -48 -52 -56 -13 -226 -199

00000030 -172 -181 -190 -215 -240 -290 -340 -406

00000038 -472 -518 -564 -706 -592 -664 -736 -736

00000040 +1024 +788 +808 +492 +432 +480 +528 -368

00000048 +16 +892 +1000 +804 +1120 +1158 +940 +594

81 / 142


00000050 +248 +6 +20 -78 -176 -192 -208 -256

00000058 -304 -352 -400 -400 -656 -1088 -496 -624

00000060 +712 +680 +648 +664 +680 +606 +276 -150

00000068 +704 +1128 +2064 +2216 +2112 +2374 +2380 +2178

00000070 +1720 +1716 +176 -116 +104 -219 -286 -321

00000078 -356 -192 -284 -456 +396 +2172 -1428 -660

00000080 +976 +924 +872 +836 +800 +652 +1784 +1332

00000088 +1136 +1828 +2264 +2956 +3136 +3366 +2572 +3426

00000090 +3256 +1794 -436 +1526 +2208 +1866 +1524 +1214

00000098 +904 +512 +376 +800 +200 -344 +1160 -248

000000A0 +1176 +1106 +1036 +998 +960 +530 +612 +2502

000000A8 +2344 +2633 +3178 +3339 +3500 +3620 +2972 +3684

000000B0 +4140 -106 +256 +3786 +3220 +3316 +3156 +2820

000000B8 +2740 +2586 +1920 +1142 +364 -236 +188 -324

000000C0 +1248 +1224 +1200 +1080 +960 +184 +944 +1800

000000C8 +2400 +1838 +2044 +2410 +3032 +3810 +4332 +4742

000000D0 +1568 -438 +3444 +3710 +3720 +3758 +3796 +3578

000000D8 +3104 +2660 +2216 +1500 +528 -240 -240 -368

000000E0 +1440 +1354 +1268 +1294 +1320 +883 +446 +9

000000E8 +852 +805 +1270 +1463 +888 +286 -60 +1434

000000F0 +112 +1592 +5120 +4136 +3920 +3845 +3770 +3855

000000F8 +3684 +3393 +3102 +2939 +3032 +944 -376 -248

00000100 +1504 +1420 +1336 +1364 -2192 -1314 -692 +730

00000108 +2152 +2556 +3216 +3732 +4248 +4442 +4636 +622

00000110 +448 +294 +652 +3074 +3704 +4012 +4064 +3284

00000118 +2760 +1966 +916 +26 -96 -240 -128 -256

00000120 +1640 +1530 +1932 -1202 -752 -170 +412 +1602

00000128 +2536 +3103 +3670 +3709 +3748 +3718 +2408 +26

00000130 +2252 +4438 +3040 +730 +212 -64 -84 -88

00000138 +164 +355 +1058 +2081 -224 -56 -144 -272

00000140 +1712 +1688 +896 -1672 -656 -2 +396 +970

00000148 +2056 +2674 +2780 +2790 +3056 +3266 +660 +486

00000150 +4408 +3974 +4052 +4466 +4368 +4180 +4248 +4284

00000158 +4064 +3928 +3792 +680 -128 -128 -128 -256

00000160 +1624 +2491 -1506 -1039 -828 -417 -262 +5

00000168 +16 +495 +974 +1597 +1708 +1239 +258 +3133

00000170 +3960 +3894 +3828 +3778 +3728 +3595 +3462 +3297

00000178 +3132 +2911 +2434 -443 +8 -56 -120 -120

00000180 +2368 -642 -2116 -1350 +184 +592 +1256 +896

00000188 +536 -404 -832 -1004 -664 +1004 +1136 +4036

00000190 +3608 +3558 +3508 +3474 +3440 +3314 +3188 +3030

00000198 +2616 +2502 +84 +178 +16 -64 -144 -144

000001A0 +1680 +1741 +2058 +2103 +1636 +1419 +1202 +1225

000001A8 +1248 +1393 +1282 +979 +676 +741 +2086 +2407

000001B0 +2728 +2859 +2990 +2897 +3060 +2944 +2828 +2552

000001B8 +2276 +1178 -176 +54 +28 -36 -100 -100

000001C0 +1760 +1628 +1496 +1428 +1360 +1302 +1244 +1186

000001C8 +1128 +1062 +996 +946 +896 +878 +604 +922

000001D0 +1752 +1104 +1480 +1776 +1816 +1934 +1028 +1258

000001D8 +464 +30 +108 +58 +8 -40 -88 -216

000001E0 +1504 +1476 +1448 +1356 +1264 +1230 +1196 +1162

000001E8 +1128 +1046 +964 +914 +864 +806 +748 +578

000001F0 +408 +512 +360 +672 +984 +70 +180 +50

000001F8 +176 +142 +108 +58 +8 -56 -120 -120

82 / 142


4.2.4.3.2.6 Inverse DWT-X (LH2 - HH2)

The following is a dump of the H1 sub-band, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 +0 +0 +0 +0 +0 +0 +0 +0

00000008 +0 +0 +0 +0 +0 +0 +0 +0

00000010 +0 +0 +0 +0 +0 +0 +0 +0

00000018 +0 +0 +0 +0 +0 +0 +0 +0

00000020 -128 -96 -64 +0 +64 +32 +0 +192

00000028 -128 -160 -192 -96 +0 -64 -128 -160

00000030 -192 -96 +0 +0 +0 +0 +0 +0

00000038 +0 +0 +0 +0 +0 +0 +0 +0

00000040 -128 -128 -128 -64 +0 +32 +64 +0

00000048 -64 +32 +128 +64 +0 +0 +0 +0

00000050 +0 +32 +64 +0 -64 +0 +64 +64

00000058 +64 -160 +128 -64 -256 -1024 +256 +0

00000060 +0 +0 +0 +32 +64 -64 -192 -96

00000068 +0 +0 +0 +0 +0 -96 +320 -96

00000070 +0 +256 +0 -192 +128 -32 -192 -192

00000078 -192 -192 -192 -64 +64 +288 -512 +0

00000080 +0 +0 +0 +0 +0 -64 -128 +608

00000088 -192 -96 +0 +64 +128 +160 -320 +192

00000090 +192 -192 -64 +224 +0 +32 +64 +32

00000098 +0 +32 +64 +0 -64 -32 +2048 +0

000000A0 +0 +0 +0 +0 +0 +0 +0 -160

000000A8 +192 +320 +448 +224 +0 -192 +128 -32

000000B0 +320 -128 -64 +0 +64 +32 +0 +128

000000B8 +256 +96 -64 -32 +0 +32 +64 +64

000000C0 +0 +32 +64 -64 -192 -64 +64 -64

000000C8 -704 -480 -768 -1120 -960 -928 +640 +960

000000D0 -256 -64 +128 +64 +0 +0 +0 -224

000000D8 +64 +544 +512 -160 -832 -416 +0 +0

000000E0 +0 +0 +0 +160 -192 -960 -704 -352

000000E8 +0 +32 +64 +224 +896 +864 -704 -192

000000F0 -192 +896 +960 +160 -128 -32 +64 -32

000000F8 -128 -32 +64 -320 +320 -96 +0 +0

00000100 +0 +0 +0 +0 +0 +32 +64 +64

00000108 +64 +32 +0 +0 +0 +128 +256 +0

00000110 -256 -448 -1152 -1056 -960 -224 +0 +96

00000118 -320 -512 -704 -1056 +128 +64 +0 +0

00000120 -64 +0 +64 +32 +0 -32 -64 -32

00000128 +0 +32 +64 +32 +0 +160 -192 -32

00000130 +128 -128 +128 +1056 +960 +928 +896 +672

00000138 +960 +992 +512 +192 -128 -64 +0 +0

00000140 +0 +96 -320 +128 +64 +96 +128 +0

00000148 -128 +0 +128 +96 +64 +32 +0 -192

00000150 +128 +64 +0 +0 +0 -32 -64 -96

00000158 +384 +480 +576 -192 +64 +32 +0 +0

00000160 -192 +416 +0 +192 -640 -512 -896 -896

00000168 -384 -96 +192 -192 -64 -32 +0 +0

00000170 +0 +0 +0 +0 +0 +0 +0 +0

00000178 +0 -32 -64 +0 +64 +32 +0 +0

00000180 +64 +64 +1088 +1248 +384 +160 -64 +64

00000188 +192 +640 +576 -480 -512 +192 +384 +0

00000190 +128 -128 +128 +64 +0 +0 +0 +0

00000198 +0 +0 +0 +0 +0 +0 +0 +0

000001A0 -64 +0 +64 +32 +0 +0 +0 +0

000001A8 +0 +0 +0 -32 -64 +128 -192 -160

83 / 142


000001B0 -128 +0 +128 +64 +0 +32 +64 +32

000001B8 +512 -224 +64 +32 +0 +0 +0 +0

000001C0 -64 -32 +0 +0 +0 +0 +0 +0

000001C8 +0 +0 +0 +0 +0 +0 +0 -192

000001D0 -384 -128 -384 +0 -128 -448 -256 -384

000001D8 +0 +0 +0 +0 +0 +0 +0 +0

000001E0 +0 +0 +0 +0 +0 +0 +0 +0

000001E8 +0 +0 +0 +0 +0 +0 +0 +0

000001F0 +0 +0 +0 -256 -512 +0 +0 +0

000001F8 +0 +0 +0 +0 +0 +0 +0 +0

4.2.4.3.2.7 Inverse DWT-Y (L1 – H1)

The following is a dump of the LL1 sub-band, as shown in the figure illustrating three-level DWT


00000000 -32 +128 +32 +0 -32 -16 +0 -48

00000008 -96 -84 -72 -124 -176 -208 -240 -272

00000010 -304 -304 -304 -368 -432 -468 -504 -540

00000018 -576 -620 -664 -708 -752 -784 -816 -816

00000020 +168 +281 +138 +115 +92 +84 +76 +52

00000028 +28 +8 -12 -64 -116 -95 -201 -195

00000030 -190 -218 -247 -291 -336 -379 -422 -473

00000038 -524 -569 -614 -707 -672 -724 -776 -776

00000040 +368 +434 +244 +230 +216 +184 +152 +152

00000048 +152 +100 +48 -4 -56 +19 -162 -119

00000050 -76 -133 -190 -215 -240 -290 -340 -406

00000058 -472 -518 -564 -706 -592 -664 -736 -736

00000060 +504 +475 +446 +377 +436 +380 +324 +228

00000068 -124 +208 +156 +216 +532 +476 +165 -42

00000070 -250 -239 -101 -146 -192 -241 -290 -347

00000078 -404 -395 -514 -537 -560 -620 -680 -680

00000080 +1152 +900 +904 +524 +400 +448 +496 -464

00000088 +112 +956 +1032 +820 +1120 +1190 +1004 +674

00000090 +344 +38 -12 -78 -144 -192 -240 -288

00000098 -336 -272 -464 -368 -528 -576 -624 -624

000000A0 +708 +566 +552 +474 +524 +599 +546 -283

000000A8 +296 +1098 +1772 +1630 +1616 +1806 +1612 +1450

000000B0 +1032 +869 +194 -49 -164 -197 -103 -144

000000B8 -186 -464 -102 -508 -530 -1066 -450 -642

000000C0 +776 +744 +712 +680 +648 +622 +340 -102

000000C8 +736 +1112 +2000 +2184 +2112 +2422 +2220 +2226

000000D0 +1720 +1572 +144 -20 +72 -203 -222 -257

000000D8 -292 -16 -252 -392 +492 +2540 -1300 -660

000000E0 +876 +834 +792 +814 +836 +541 +758 +295

000000E8 +984 +1494 +2132 +2554 +2592 +2686 +3036 +2610

000000F0 +2440 +2179 -130 +361 +1364 +768 +299 +135

000000F8 -30 -96 -290 +92 +474 +1610 -1478 -454

00000100 +976 +924 +872 +820 +768 +716 +1944 +1076

00000108 +1232 +1876 +2264 +2924 +3072 +3334 +2572 +3378

00000110 +3160 +1762 -404 +1510 +2144 +1866 +1588 +1294

00000118 +1000 +592 +440 +832 +200 -472 +392 -248

00000120 +1076 +1015 +954 +909 +864 +511 +1054 +2893

00000128 +1404 +2006 +2609 +3187 +3510 +3805 +2180 +3875

00000130 +3906 +524 -170 +3040 +2666 +2639 +2484 +2081

00000138 +1806 +1621 +1308 +995 +170 -418 +3858 -302

00000140 +1176 +1106 +1036 +998 +960 +562 +676 +2278

84 / 142


00000148 +2344 +2521 +2954 +3195 +3436 +3636 +3068 +3604

00000150 +3884 +54 +320 +3674 +3188 +3284 +3124 +2740

00000158 +2612 +2522 +1920 +1158 +396 -236 -868 -356

00000160 +1212 +1157 +1102 +1055 +1008 +389 +794 +1775

00000168 +2884 +2859 +3475 +3474 +3474 +3619 +3764 +3877

00000170 +3350 -400 +1738 +3676 +3566 +3577 +3460 +3439

00000178 +3290 +2623 +1828 +1313 +670 -78 -442 -250

00000180 +1248 +1208 +1168 +1112 +1056 +216 +912 +1912

00000188 +2656 +1918 +2204 +2858 +3512 +4370 +3948 +4278

00000190 +1536 -342 +3412 +3678 +3688 +3742 +3796 +3626

00000198 +2944 +2340 +1992 +1596 +944 -48 -272 -400

000001A0 +1344 +1337 +1330 +1051 +900 +677 +967 +936

000001A8 +522 +513 +377 +144 +296 +488 +3240 +4584

000001B0 +424 +289 +4250 +3979 +3836 +3801 +3767 +3356

000001B8 +3458 +3826 +3427 +2067 +452 -256 -324 -324

000001C0 +1440 +1338 +1236 +1246 +1512 +1395 +766 +217

000001C8 +1204 +1029 +1622 +1911 +920 +318 -28 +1050

000001D0 +336 +1176 +4576 +4024 +3984 +3861 +3738 +3983

000001D8 +3716 +3137 +2814 +3179 +3288 +1200 -376 -248

000001E0 +1472 +1379 +1286 +1585 -676 -1648 -1211 -159

000001E8 +1662 +1840 +2531 +3213 +4152 +3860 +1008 +500

000001F0 +120 +2415 +4582 +4093 +3860 +3936 +4013 +3553

000001F8 +3094 +2623 +2153 +1306 +2124 +296 -252 -252

00000200 +1504 +1420 +1336 +1284 -2096 -850 -372 +874

00000208 +2120 +2524 +3184 +3620 +3800 +3946 +4860 +718

00000210 +672 +70 +748 +3522 +4248 +4140 +4032 +3252

00000218 +2984 +2238 +1236 +714 -320 -224 -128 -256

00000220 +1588 +1475 +1618 +33 -1424 -446 +148 +1358

00000228 +2440 +2861 +3411 +3656 +3774 +4016 +4130 +380

00000230 +982 +1502 -154 +14 +310 +1414 +1750 +1582

00000238 +774 +152 -213 -499 -16 -12 -136 -264

00000240 +1672 +1530 +1900 -1218 -752 -170 +412 +1586

00000248 +2504 +3071 +3638 +3693 +3748 +3574 +2376 +42

00000250 +2316 +4726 +3552 +730 +212 -416 -532 -472

00000258 -156 +115 +1154 +2513 -224 -56 -144 -272

00000260 +1580 +1585 +1590 -1421 -720 -166 +260 +1222

00000268 +2312 +2928 +3289 +3273 +3386 +3692 +1182 +256

00000270 +3554 +4110 +4026 +4446 +3970 +3514 +3442 +3106

00000278 +3538 +3637 +3225 +1980 -416 -212 -136 -264

00000280 +1744 +1640 +1024 -1752 -688 -34 +364 +986

00000288 +2120 +2658 +2684 +2726 +3024 +3170 +756 +598

00000290 +4280 +4006 +3988 +3938 +3888 +3732 +3832 +3996

00000298 +3392 +3192 +3248 +680 -96 -112 -128 -256

000002A0 +1732 +2129 -801 -1219 -486 +71 +499 +719

000002A8 +940 +1600 +2005 +2377 +2494 +2268 +507 +1529

000002B0 +4344 +4062 +3908 +3858 +3808 +3607 +3535 +3478

000002B8 +3934 +3899 +3865 -217 +52 -36 -124 -188

000002C0 +1720 +2235 -1346 -1199 -540 -209 +122 +453

000002C8 +272 +543 +814 +1645 +1708 +1239 +258 +3229

000002D0 +3896 +3862 +3828 +3778 +3728 +3611 +3494 +3345

000002D8 +2940 +2687 +2178 -347 -56 -88 -120 -120

000002E0 +1692 +1508 -2003 -1250 -1394 -744 -863 -910

000002E8 -316 -259 +183 +104 +538 +1017 +601 +3632

000002F0 +3720 +3742 +3636 +3610 +3584 +3462 +3341 +3187

000002F8 +2778 +2538 +1019 -84 +92 -20 -132 -132

00000300 +2432 -882 -2660 -2070 +312 +768 +1736 +1312

00000308 +632 -676 -1216 -668 -376 +924 +944 +4036

00000310 +3544 +3622 +3444 +3442 +3440 +3314 +3188 +3030

00000318 +2616 +2518 +116 +178 -16 -80 -144 -144

85 / 142


00000320 +2184 +541 +1587 +2192 +1646 +1373 +1357 +1380

00000328 +1276 +1478 +1041 -677 -730 +1136 +2235 +3261

00000330 +3392 +3016 +3409 +3265 +3250 +3121 +2992 +2783

00000338 +2318 +1904 -46 +108 +6 -58 -122 -122

00000340 +1680 +1709 +1482 +1463 +1444 +1339 +1234 +1193

00000348 +1152 +1073 +994 +1235 +964 +581 +1990 +2487

00000350 +2728 +2923 +2862 +2833 +3060 +2928 +2796 +2536

00000358 +2020 +1290 -208 +38 +28 -36 -100 -100

00000360 +1624 +1676 +1601 +1501 +1402 +1320 +1239 +1189

00000368 +1140 +1067 +995 +1034 +818 +953 +961 +1472

00000370 +2112 +2045 +2491 +2416 +2470 +2599 +2088 +2049

00000378 +2138 +268 +62 +104 +18 -38 -94 -158

00000380 +1824 +1644 +1464 +1412 +1360 +1302 +1244 +1186

00000388 +1128 +1062 +996 +962 +928 +814 +700 +1098

00000390 +2008 +1168 +1608 +1744 +1880 +2142 +1124 +1434

00000398 +208 +142 +76 +42 +8 -40 -88 -216

000003A0 +1552 +1504 +1456 +1384 +1312 +1266 +1220 +1174

000003A8 +1128 +1054 +980 +938 +896 +810 +724 +502

000003B0 +536 +616 +312 +1272 +1336 +322 +204 +70

000003B8 +192 +142 +92 +50 +8 -48 -104 -168

000003C0 +1536 +1492 +1448 +1356 +1264 +1230 +1196 +1162

000003C8 +1128 +1046 +964 +914 +864 +806 +748 +674

000003D0 +600 +576 +552 +800 +1304 +294 +308 +242

000003D8 +176 +142 +108 +58 +8 -56 -120 -120

000003E0 +1536 +1492 +1448 +1356 +1264 +1230 +1196 +1162

000003E8 +1128 +1046 +964 +914 +864 +806 +748 +674

000003F0 +600 +576 +552 +288 +280 +294 +308 +242

000003F8 +176 +142 +108 +58 +8 -56 -120 -120

00000400 +0 +128 +0 +0 +0 +0 +0 +0

00000408 +0 +0 +0 +0 +0 +0 +0 +0


The following are the dumps of the four level 1 de-quantized sub-bands (LL1, LH1, HL1, and HH1).

LL1 is reconstructed from level 2 sub-bands. LH1, HL1 and HH1 are generated by de-quantizing the corresponding decoded sub-bands, as shown in sections 4.2.4.2 and 4.2.4.2.1.


4.2.4.3.3.1 LL1

The LL1 sub-band is the same as that shown in section 4.2.4.3.2.7.

4.2.4.3.3.2 HL1


00000000 +0 +128 +0 +0 +0 +0 +0 +0

00000008 +0 +0 +0 +0 +0 +0 +0 +0

00000010 +0 +0 +0 +0 +0 +0 +0 +0

00000018 +0 +0 +0 +0 +0 +0 +0 +0

00000020 +0 +0 +0 +0 +0 +0 +0 +0

00000028 +0 +0 +0 +0 +0 +0 +0 +0

00000030 +0 +0 +0 +0 +0 +0 +0 +0

00000038 +0 +0 +0 +0 +0 +0 +0 +0

86 / 142


00000040 +0 +0 +0 +0 +0 +0 +0 +0

00000048 +0 +0 +0 +0 +0 +0 +0 +0

00000050 +0 +0 +0 +0 +0 +0 +0 +0

00000058 +0 +0 +0 +0 +0 +0 +0 +0

00000060 +128 +0 +256 +0 +0 +0 +0 -128

00000068 +0 +0 +0 +0 +0 +0 +0 +0

00000070 +0 +0 +0 +0 +0 +0 +0 +0

00000078 +0 +0 +0 +128 +0 +0 +0 +0

00000080 +0 +0 +128 +0 +0 +0 +256 +0

00000088 +0 +0 +0 +0 +0 +0 +0 +0

00000090 +0 +0 +0 +0 +0 +0 +0 +0

00000098 +0 +0 +0 +0 +0 +0 +0 +0

000000A0 +0 +0 +0 +0 +0 +0 +0 +0

000000A8 +0 +128 +0 +0 +0 +0 +0 +0

000000B0 +0 +0 -128 +0 +0 +0 +0 +0

000000B8 +0 +0 +0 +0 -128 +128 +0 +0

000000C0 +0 +0 +0 +0 +0 +0 -384 +0

000000C8 +0 +0 +128 +0 +0 +0 +0 +0

000000D0 +0 +256 +0 +0 +0 +0 +0 +0

000000D8 +0 +128 +0 -256 +512 -640 -128 +0

000000E0 +0 +0 +0 +0 +0 -128 -384 +0

000000E8 +0 +0 +0 +0 +0 +0 +0 +0

000000F0 +0 -384 +0 +384 +0 +0 +0 +0

000000F8 +0 +0 -128 +512 +512 -640 -128 +0

00000100 +0 +0 +0 +0 +0 -256 +640 +0

00000108 +0 +0 +0 +0 +0 +256 +128 +0

00000110 +256 -640 -512 +128 +0 +0 +0 +0

00000118 +0 +0 +128 +384 -128 +640 +0 -128

00000120 +0 +0 +0 +0 +0 -256 -256 -384

00000128 +0 +0 +0 +0 +0 +384 +0 +0

00000130 +896 +0 -512 +0 +0 +0 +0 +0

00000138 +0 +0 +0 -128 +0 -128 +256 -128

00000140 +0 +0 +0 +0 +0 -384 +128 +640

00000148 +0 +0 +0 +0 +0 +0 -128 +0

00000150 +0 +128 +896 +0 +0 +0 +0 +0

00000158 +0 +0 +0 +0 +0 -128 +0 +0

00000160 +0 +0 +0 +0 +256 +0 +0 +0

00000168 -256 +0 +0 +0 +0 +0 +128 +0

00000170 -1152 -384 +640 +0 +0 +0 +0 +0

00000178 +0 +0 +0 +0 +0 -128 +0 +0

00000180 +0 +0 +0 +0 +0 +0 -128 -128

00000188 -128 +0 +0 +0 +0 +0 +0 +768

00000190 -256 -1024 -128 +0 +0 +0 +0 +0

00000198 +0 +0 +0 +0 +0 -128 +0 +0

000001A0 +0 +0 +0 +0 -384 +0 +0 +0

000001A8 +0 +0 +0 -128 +0 -128 +0 +640

000001B0 +256 +384 +0 +0 +0 +0 +0 +0

000001B8 +0 +0 +128 +0 +256 +0 +0 +0

000001C0 +0 +0 +0 -128 +128 +0 +0 -128

000001C8 +256 +0 +0 +128 +0 +0 -128 +0

000001D0 -128 +896 +0 +0 +0 +0 +0 +0

000001D8 +0 +0 +0 +0 -384 -256 +0 +0

000001E0 +0 +0 +0 +384 -128 +0 -128 +0

000001E8 +128 +0 +0 +0 +128 +256 -128 +0

000001F0 -640 +128 +0 +0 +0 +0 +0 +0

000001F8 +0 +0 +0 -384 -512 +0 +0 +0

00000200 +0 +0 -128 -768 +128 +0 -128 +0

00000208 +0 +0 +0 +0 +0 +0 +768 +0

00000210 -128 +0 +128 +0 +0 +128 -128 +0

87 / 142


00000218 +0 +0 +0 +0 +0 +0 +0 +0

00000220 +0 +0 +384 -640 +0 +0 +0 +0

00000228 +0 +0 +0 +0 +0 -128 -128 +128

00000230 +1280 +0 +0 +0 -128 +128 +0 +0

00000238 +0 +0 -128 +128 +0 +0 +0 +0

00000240 +0 +0 +896 +0 +0 +0 +0 +0

00000248 +0 +0 +0 +0 +0 +128 -640 -640

00000250 +384 +0 +0 +0 +0 +0 +0 +0

00000258 +0 -128 +0 -128 +0 +0 +0 +0

00000260 +0 -128 -256 +0 +0 +0 -128 +0

00000268 +0 +0 +0 +0 +0 +384 -128 -896

00000270 +0 +0 +0 +0 +0 +0 +0 +0

00000278 +0 +0 +128 -768 +0 +0 +0 +0

00000280 +0 +0 -1024 +0 +0 +0 +0 +0

00000288 +0 +0 +0 +0 +0 +384 +256 +512

00000290 +0 +0 +0 +0 +0 -128 +0 +0

00000298 +0 +0 +768 -128 +0 +0 +0 +0

000002A0 -128 +896 -128 +0 +0 +0 -128 -128

000002A8 +0 +0 +0 +0 +0 -384 -128 +768

000002B0 +0 +0 +0 +0 +0 +0 +0 +0

000002B8 +0 +0 +384 +128 +0 +0 +0 +0

000002C0 +0 +512 +128 +256 -256 -256 +0 -128

000002C8 +0 +0 +0 +0 +128 -128 -896 +128

000002D0 +0 +0 +0 +0 +0 +0 +0 +0

000002D8 +0 +0 -768 +0 +0 +0 +0 +0

000002E0 -128 -1280 +384 +128 +256 +0 -256 +128

000002E8 +128 +0 +0 +0 +0 +0 -128 +0

000002F0 +0 +0 -128 +0 +0 +0 +0 +0

000002F8 +0 +384 -256 +0 +0 +0 +0 +0

00000300 +768 -1024 -256 +0 -256 +128 +0 +0

00000308 -128 -128 -128 +128 +128 +128 +768 +0

00000310 +0 +0 +0 +0 +0 +0 +0 +0

00000318 +0 +512 +128 +0 +0 +0 +0 +0

00000320 +384 +256 +0 +128 +0 +0 +128 +128

00000328 +0 +0 +128 -256 +640 -384 +256 +0

00000330 +0 +0 +0 +128 +0 +0 +0 +0

00000338 +0 -256 +0 +0 +0 +0 +0 +0

00000340 +0 +0 +0 +0 +0 +0 +0 +0

00000348 +0 +0 -128 +0 +0 -384 +0 +128

00000350 +0 +0 +128 +128 +0 +0 +0 +0

00000358 +0 -512 +0 +0 +0 +0 +0 +0

00000360 +0 +0 +0 +0 +0 +0 +0 +0

00000368 +0 +0 +0 +0 +0 +0 -128 +128

00000370 -128 -128 +0 +0 +128 +0 +0 +0

00000378 +384 +0 +0 +0 +0 +0 +0 +0

00000380 +0 +0 +0 +0 +0 +0 +0 +0

00000388 +0 +0 +0 +0 +0 +0 -128 +0

00000390 +0 +0 +128 +128 +128 -256 +0 +128

00000398 +0 +0 +0 +0 +0 +0 +0 +0

000003A0 +0 +0 +0 +0 +0 +0 +0 +0

000003A8 +0 +0 +0 +0 +0 +0 +0 +0

000003B0 -128 +0 -256 +128 +128 +0 +0 +0

000003B8 +0 +0 +0 +0 +0 +0 +0 +0

000003C0 +0 +0 +0 +0 +0 +0 +0 +0

000003C8 +0 +0 +0 +0 +0 +0 +0 +0

000003D0 +0 +0 +0 +384 -128 +0 +0 +0

000003D8 +0 +0 +0 +0 +0 +0 +0 +0

000003E0 +0 +0 +0 +0 +0 +0 +0 +0

000003E8 +0 +0 +0 +0 +0 +0 +0 +0

88 / 142


000003F0 +0 +0 +0 -128 +0 +0 +0 +0

000003F8 +0 +0 +0 +0 +0 +0 +0 +0

4.2.4.3.3.3 LH1

The following is a dump of the LH1 sub-band, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 +0 +0 +0 +0 +0 +0 +0 +0

00000008 +0 +0 +0 +0 +0 +0 +0 +0

00000010 +0 +0 +0 +0 +0 +0 +0 +0

00000018 +0 +0 +0 +0 +0 +0 +0 +0

00000020 +0 +0 +0 +0 +0 +0 +0 +0

00000028 +0 +0 +0 +0 +0 +0 +0 +0

00000030 +0 +0 +0 +0 +0 +0 +0 +0

00000038 +0 +0 +0 +0 +0 +0 +0 +0

00000040 +0 +0 +0 +0 +0 +0 +0 +0

00000048 +128 +0 -128 -128 +0 +0 -128 -128

00000050 +128 +0 +0 +0 +0 +0 +0 +0

00000058 +0 +0 +0 +0 +0 +0 +0 +0

00000060 -128 -128 -128 +0 +0 +0 +0 -128

00000068 +0 +0 +0 +0 +0 +0 +0 +0

00000070 +0 -128 +0 +0 +0 +0 +0 +0

00000078 +0 +0 +0 +0 +0 +0 +0 +0

00000080 -128 -128 -128 +0 +0 +0 +0 +0

00000088 +0 +0 +0 +0 +0 +0 +0 +0

00000090 +0 +0 +0 +0 +0 +0 +0 +0

00000098 +0 +0 +0 +0 +0 +0 +0 +0

000000A0 +0 +0 +0 +0 +0 +0 +0 +0

000000A8 +0 +0 +0 +0 +0 +0 +0 +0

000000B0 +0 +0 +0 +0 -128 +128 +0 +0

000000B8 +0 +0 +0 +0 -256 -1024 +256 +0

000000C0 +0 +0 +0 +0 +0 +0 -128 +0

000000C8 +0 +0 +0 +0 +0 +0 +0 +0

000000D0 +0 +0 +0 +0 +0 +0 -128 +0

000000D8 +0 +128 +0 -256 +512 +512 -128 +0

000000E0 +0 +0 +0 +0 +0 -128 +384 -128

000000E8 +0 +0 +0 +0 +0 +0 +128 +0

000000F0 +0 +128 +0 +0 +0 +0 +0 +0

000000F8 +0 +0 -128 +384 +384 -896 -128 +0

00000100 +0 +0 +0 +0 +0 +0 +0 +128

00000108 +0 +0 +0 +0 +0 +0 +0 +0

00000110 +0 +0 -128 +128 +0 +0 +0 +0

00000118 +0 +0 +0 +128 +0 +0 +768 +384

00000120 +0 +0 +0 +0 +0 +0 +0 +0

00000128 +0 +0 +0 +128 +0 +0 +0 +0

00000130 +128 +0 +0 +0 +0 +0 +0 +0

00000138 +0 +0 +0 +0 +0 +0 -1024 +0

00000140 +0 +0 +0 +0 +0 +0 +0 +0

00000148 +0 +0 +0 +128 -256 -256 +256 -128

00000150 +0 +0 -128 +0 +0 +0 +0 +0

00000158 +0 +0 +0 +0 +0 +0 +0 +0

00000160 +0 +0 +0 +0 +0 -128 +0 +0

00000168 +128 +128 +384 +128 +0 +0 +0 +0

00000170 +0 +0 +0 +0 +0 +0 +0 +128

00000178 +0 +0 +0 +0 +0 +0 +0 +0

00000180 +0 +0 +0 +0 +0 -128 +0 -128

89 / 142


00000188 -640 -384 -512 -768 -768 +896 +128 +128

00000190 -128 +0 +0 +0 +0 +0 +0 +0

00000198 -128 -256 -384 +0 +128 +0 +0 +0

000001A0 +0 +0 +0 +0 +0 +128 +0 +256

000001A8 -128 +0 -256 -384 +128 +128 -1024 +768

000001B0 +0 -128 +128 +0 +0 +0 +0 +128

000001B8 +128 +0 +0 +768 -384 -128 +0 +0

000001C0 +0 +0 +0 -128 +640 +256 -768 -256

000001C8 +0 +0 +0 +256 +896 -768 -128 +0

000001D0 +0 +128 +0 +0 +0 +0 +0 +0

000001D8 +0 +0 -128 -128 +128 +768 +0 +0

000001E0 +0 +0 +0 +0 -256 +128 +0 +0

000001E8 +0 +0 +0 +0 +0 -128 +768 -128

000001F0 +128 -768 +896 +0 +0 +0 +0 +0

000001F8 +0 +0 +0 +128 -128 -128 +0 +0

00000200 +0 +0 +0 +128 +0 +0 +0 +0

00000208 +0 +0 +0 +0 +0 +0 +0 +0

00000210 -128 -256 +0 -1024 +768 +768 +512 +384

00000218 +384 +512 -128 -256 +0 +0 +0 +0

00000220 +0 +0 +0 +0 +0 +0 +0 +0

00000228 +0 +0 +0 +0 +0 +0 +256 -128

00000230 -128 +896 -1024 +0 +128 -256 -512 -384

00000238 -128 +128 -384 -512 +128 +0 +0 +0

00000240 +0 +0 +0 +0 +0 +0 +0 +0

00000248 +0 +0 +128 +0 +128 -384 -640 +0

00000250 +128 +0 +0 +1024 -128 -896 -1152 -896

00000258 -256 +768 +384 +0 +0 +0 +0 +0

00000260 +0 +0 +128 +0 +0 +0 -128 -128

00000268 +0 +0 +0 +0 +0 +128 -128 +0

00000270 +0 +0 +0 +0 +0 +0 +0 +0

00000278 +0 +0 +0 +0 +0 +0 +0 +0

00000280 +0 +0 +0 +0 +0 +0 +128 +0

00000288 +0 +0 +0 +0 +0 +0 +0 -128

00000290 +128 +0 +0 +0 +0 +0 -128 +128

00000298 +0 +0 +128 -128 +0 +0 +0 +0

000002A0 -128 +128 -128 +128 +128 +0 +0 +0

000002A8 +0 +0 +0 +0 +0 +0 +0 +0

000002B0 +0 +0 +0 +0 +0 +0 +0 +0

000002B8 -128 +128 -128 +0 +0 +0 +0 +0

000002C0 +0 +128 +128 +384 +384 +0 +128 +128

000002C8 -128 +128 +0 +0 +0 +0 +0 +0

000002D0 +0 +0 +0 +0 +0 +0 +0 +0

000002D8 +0 +0 +128 +0 +0 +0 +128 +0

000002E0 +0 +0 +256 +128 -512 -640 -1024 -768

000002E8 -512 +128 +0 +0 -128 +0 +0 +0

000002F0 +0 +0 +0 +0 +0 +0 +0 +0

000002F8 +0 +0 +0 +128 +0 +0 +0 +0

00000300 +384 -1152 -640 +1280 +256 +256 +0 -128

00000308 +256 +768 -512 -128 +0 +0 +0 +0

00000310 +0 +0 +0 +0 +0 +0 +0 +0

00000318 +0 +0 +0 +0 +0 +0 +0 +0

00000320 -128 +256 -128 -128 +128 +0 +0 +0

00000328 +0 +0 -128 +512 -256 -128 +128 -128

00000330 +128 -128 +0 +0 +0 +0 +0 +0

00000338 +0 +128 +0 +0 +0 +0 +0 +0

00000340 +0 +0 +0 +0 +0 +0 +0 +0

00000348 +0 +0 +0 +0 +0 +0 +0 +128

00000350 -128 +128 +0 +0 +0 +0 +0 +0

00000358 +0 +0 +0 +0 +0 +0 +0 +0

90 / 142


00000360 +0 +128 +0 +0 +0 +0 +0 +0

00000368 +0 +0 +0 +0 +0 +0 -128 -128

00000370 +0 -128 +128 +128 +0 +128 +0 -128

00000378 +384 -128 +0 +0 +0 +0 +0 +0

00000380 +0 +0 +0 +0 +0 +0 +0 +0

00000388 +0 +0 +0 +0 +0 +0 +0 -128

00000390 -128 -128 +128 +128 +128 +0 -256 -384

00000398 +0 +0 +0 +0 +0 +0 +0 +0

000003A0 +0 +0 +0 +0 +0 +0 +0 +0

000003A8 +0 +0 +0 +0 +0 +0 +0 +0

000003B0 +0 +0 -128 +512 +256 +128 +0 +0

000003B8 +0 +0 +0 +0 +0 +0 +0 +0

000003C0 +0 +0 +0 +0 +0 +0 +0 +0

000003C8 +0 +0 +0 +0 +0 +0 +0 +0

000003D0 +0 +0 +0 +0 -256 +0 +0 +0

000003D8 +0 +0 +0 +0 +0 +0 +0 +0

000003E0 +0 +0 +0 +0 +0 +0 +0 +0

000003E8 +0 +0 +0 +0 +0 +0 +0 +0

000003F0 +0 +0 +0 +0 +0 +0 +0 +0

000003F8 +0 +0 +0 +0 +0 +0 +0 +0

00000400 +0 +0 +0 +0 +0 +0 +0 +0

00000408 +0 +0 +0 +0 +0 +0 +0 +0

4.2.4.3.3.4 HH1


00000000 +0 +0 +0 +0 +0 +0 +0 +0

00000008 +0 +0 +0 +0 +0 +0 +0 +0

00000010 +0 +0 +0 +0 +0 +0 +0 +0

00000018 +0 +0 +0 +0 +0 +0 +0 +0

00000020 +0 +0 +0 +0 +0 +0 +0 +0

00000028 +0 +0 +0 +0 +0 +0 +0 +0

00000030 +0 +0 +0 +0 +0 +0 +0 +0

00000038 +0 +0 +0 +0 +0 +0 +0 +0

00000040 +0 +0 +0 +0 +0 +0 +0 +0

00000048 +0 +0 +0 +0 +0 +0 +0 +0

00000050 +0 +0 +0 +0 +0 +0 +0 +0

00000058 +0 +0 +0 +0 +0 +0 +0 +0

00000060 +0 +0 +0 +0 +0 +0 +0 +0

00000068 +0 +0 +0 +0 +0 +0 +0 +0

00000070 +0 +0 +0 +0 +0 +0 +0 +0

00000078 +0 +0 +0 +0 +0 +0 +0 +0

00000080 +0 +0 +0 +0 +0 +0 +0 +0

00000088 +0 +0 +0 +0 +0 +0 +0 +0

00000090 +0 +0 +0 +0 +0 +0 +0 +0

00000098 +0 +0 +0 +0 +0 +0 +0 +0

000000A0 +0 +0 +0 +0 +0 +0 +0 +0

000000A8 +0 +0 +0 +0 +0 +0 +0 +0

000000B0 +0 +0 +0 +0 +0 +0 +0 +0

000000B8 +0 +0 +0 +0 -256 +256 +0 +0

000000C0 +0 +0 +0 +0 +0 +0 +0 +0

000000C8 +0 +0 +0 +0 +0 +0 +0 +0

000000D0 +0 +0 +0 +0 +0 +0 +0 +0

000000D8 +0 +0 +0 -512 -256 +256 +0 +0

000000E0 +0 +0 +0 +0 +0 -256 -256 +0

91 / 142


000000E8 +0 +0 +0 +0 +0 +0 +0 +0

000000F0 +0 -256 +0 +0 +0 +0 +0 +0

000000F8 +0 +0 -256 +256 -512 +0 +0 +0

00000100 +0 +0 +0 +0 +0 +0 +0 +0

00000108 +0 +0 +0 +0 +0 +0 +0 +0

00000110 +0 +0 -256 +0 +0 +0 +0 +0

00000118 +0 +0 +0 -256 +0 +0 +256 -256

00000120 +0 +0 +0 +0 +0 -256 +0 +0

00000128 +0 +0 +0 +0 +0 +0 +0 +0

00000130 +0 +0 +0 +0 +0 +0 +0 +0

00000138 +0 +0 +0 +0 +0 +0 +0 +0

00000140 +0 +0 +0 +0 +0 +0 +0 +0

00000148 +0 +0 +0 +0 +0 +0 +0 +0

00000150 +0 +0 +0 +0 +0 +0 +0 +0

00000158 +0 +0 +0 +0 +0 +0 +0 +0

00000160 +0 +0 +0 +0 +0 +0 +0 +0

00000168 +0 +0 +0 +0 +0 +0 +0 +0

00000170 +0 +0 +0 +0 +0 +0 +0 +0

00000178 +0 +0 +0 +0 +0 +0 +0 +0

00000180 +0 +0 +0 +0 +0 +0 +0 +0

00000188 +0 +0 +0 -256 +0 +0 +0 +256

00000190 +0 +0 +0 +0 +0 +0 +0 +0

00000198 +0 +0 +0 +0 +0 +0 +0 +0

000001A0 +0 +0 +0 +0 +256 +0 +0 +0

000001A8 +0 +0 +0 +0 +0 +0 +0 -256

000001B0 +0 +256 +0 +0 +0 +0 +0 +0

000001B8 +0 +0 +0 +0 +256 +0 +0 +0

000001C0 +0 +0 +0 +0 +256 +0 +0 +0

000001C8 +0 +0 +0 +0 +0 -256 +0 +0

000001D0 +0 +0 +0 +0 +0 +0 +0 +0

000001D8 +0 +0 +0 +256 +256 +0 +0 +0

000001E0 +0 +0 +0 +0 +0 +0 +0 +0

000001E8 +0 +0 +0 +0 +0 +0 -256 +0

000001F0 +256 +0 +0 +0 +0 +0 +0 +0

000001F8 +0 +0 +0 +256 +0 +0 +0 +0

00000200 +0 +0 +0 -256 +0 +0 +0 +0

00000208 +0 +0 +0 +0 +0 +0 +0 +0

00000210 -512 +0 +0 +0 +0 +0 +0 +0

00000218 +0 +0 +0 +0 +0 +0 +0 +0

00000220 +0 +0 +0 +0 +0 +0 +0 +0

00000228 +0 +0 +0 +0 +0 +0 -256 +0

00000230 -256 +0 +0 +0 +0 +0 +0 +0

00000238 +0 +0 +0 +256 +0 +0 +0 +0

00000240 +0 +0 +0 +0 +0 +0 +0 +0

00000248 +0 +0 +0 +0 +0 -256 +256 +0

00000250 +0 +0 +0 +0 +0 +0 +0 +0

00000258 +0 +0 +0 -256 +0 +0 +0 +0

00000260 +0 +0 +0 +0 +0 +0 +0 +0

00000268 +0 +0 +0 +0 +0 +256 +0 +0

00000270 +0 +0 +0 +0 +0 +0 +0 +0

00000278 +0 +0 +0 +0 +0 +0 +0 +0

00000280 +0 +0 +0 +0 +0 +0 +0 +0

00000288 +0 +0 +0 +0 +0 +0 +0 +256

00000290 +0 +0 +0 +0 +0 +0 +0 +0

00000298 +0 +0 +256 +0 +0 +0 +0 +0

000002A0 +0 +256 +0 +0 +0 +256 +0 +0

000002A8 +0 +0 +0 +0 +0 +0 +0 +0

000002B0 +0 +0 +0 +0 +0 +0 +0 +0

000002B8 +0 +0 +0 +0 +0 +0 +0 +0

92 / 142


000002C0 +0 +0 -256 +0 +0 +256 +256 +0

000002C8 +0 +0 +0 +0 +0 +0 +0 +0

000002D0 +0 +0 +0 +0 +0 +0 +0 +0

000002D8 +0 +0 +0 +0 +0 +0 +0 +0

000002E0 +0 -256 -256 +512 +0 -256 +0 +0

000002E8 +0 +0 +0 +0 +0 +0 +0 +0

000002F0 +0 +0 +0 +0 +0 +0 +0 +0

000002F8 +0 +0 +0 +0 +0 +0 +0 +0

00000300 +256 -256 +0 +0 +0 +0 +0 +0

00000308 +0 +256 -256 +0 +0 +0 +0 +0

00000310 +0 +0 +0 +0 +0 +0 +0 +0

00000318 +0 +0 +0 +0 +0 +0 +0 +0

00000320 +0 +0 +0 +0 +0 +0 +0 +0

00000328 +0 +0 +0 +0 +0 +0 +256 +0

00000330 +0 +0 +0 +0 +0 +0 +0 +0

00000338 +0 +0 +0 +0 +0 +0 +0 +0

00000340 +0 +0 +0 +0 +0 +0 +0 +0

00000348 +0 +0 +0 +0 +0 +0 +0 +0

00000350 +0 +0 +0 +0 +0 +0 +0 +0

00000358 +0 +0 +0 +0 +0 +0 +0 +0

00000360 +0 +0 +0 +0 +0 +0 +0 +0

00000368 +0 +0 +0 +0 +0 +0 +0 +0

00000370 -256 +0 +0 +0 +0 +0 +0 +0

00000378 +0 +0 +0 +0 +0 +0 +0 +0

00000380 +0 +0 +0 +0 +0 +0 +0 +0

00000388 +0 +0 +0 +0 +0 +0 +0 +0

00000390 -256 +0 +0 +0 +0 +0 +0 +0

00000398 +0 +0 +0 +0 +0 +0 +0 +0

000003A0 +0 +0 +0 +0 +0 +0 +0 +0

000003A8 +0 +0 +0 +0 +0 +0 +0 +0

000003B0 +0 +0 -256 -256 +256 +0 +0 +0

000003B8 +0 +0 +0 +0 +0 +0 +0 +0

000003C0 +0 +0 +0 +0 +0 +0 +0 +0

000003C8 +0 +0 +0 +0 +0 +0 +0 +0

000003D0 +0 +0 +0 -256 +0 +0 +0 +0

000003D8 +0 +0 +0 +0 +0 +0 +0 +0

000003E0 +0 +0 +0 +0 +0 +0 +0 +0

000003E8 +0 +0 +0 +0 +0 +0 +0 +0

000003F0 +0 +0 +0 +0 +0 +0 +0 +0

000003F8 +0 +0 +0 +0 +0 +0 +0 +0

4.2.4.3.3.5 Inverse DWT-X (LL1 - HL1)

The following is a dump of the L0 sub-band, as shown in the figure illustrating three-level DWT decomposition in section 3.1.8.1.4.

00000000 -32 +16 +64 +272 -32 -16 +0 -16

00000008 -32 -24 -16 -8 +0 -24 -48 -72

00000010 -96 -90 -84 -78 -72 -98 -124 -150

00000018 -176 -192 -208 -224 -240 -256 -272 -288

00000020 -304 -304 -304 -304 -304 -336 -368 -400

00000028 -432 -450 -468 -486 -504 -522 -540 -558

00000030 -576 -598 -620 -642 -664 -686 -708 -730

00000038 -752 -768 -784 -800 -816 -816 -816 -816

00000040 +168 +224 +281 +209 +138 +126 +115 +103

00000048 +92 +88 +84 +80 +76 +64 +52 +40

00000050 +28 +18 +8 -2 -12 -38 -64 -90

93 / 142


00000058 -116 -105 -95 -148 -201 -198 -195 -192

00000060 -190 -204 -218 -232 -247 -269 -291 -313

00000068 -336 -357 -379 -400 -422 -447 -473 -498

00000070 -524 -546 -569 -591 -614 -660 -707 -689

00000078 -672 -698 -724 -750 -776 -776 -776 -776

00000080 +368 +401 +434 +339 +244 +237 +230 +223

00000088 +216 +200 +184 +168 +152 +152 +152 +152

00000090 +152 +126 +100 +74 +48 +22 -4 -30

00000098 -56 -18 +19 -71 -162 -140 -119 -97

000000A0 -76 -104 -133 -161 -190 -202 -215 -227

000000A8 -240 -265 -290 -315 -340 -373 -406 -439

000000B0 -472 -495 -518 -541 -564 -635 -706 -649

000000B8 -592 -628 -664 -700 -736 -736 -736 -736

000000C0 +376 +649 +411 +364 +318 +795 +249 +342

000000C8 +436 +408 +380 +352 +324 +308 +292 -140

000000D0 -60 +74 +208 +182 +156 +186 +216 +374

000000D8 +532 +504 +476 +320 +165 +61 -42 -146

000000E0 -250 -244 -239 -170 -101 -123 -146 -169

000000E8 -192 -216 -241 -265 -290 -318 -347 -375

000000F0 -404 -399 -395 -454 -514 -557 -601 -356

000000F8 -624 -622 -620 -650 -680 -680 -680 -680

00000100 +1152 +1026 +900 +870 +840 +906 +460 +430

00000108 +400 +424 +448 +408 +368 +400 -592 -240

00000110 +112 +534 +956 +994 +1032 +926 +820 +970

00000118 +1120 +1155 +1190 +1097 +1004 +839 +674 +509

00000120 +344 +191 +38 +13 -12 -45 -78 -111

00000128 -144 -168 -192 -216 -240 -264 -288 -312

00000130 -336 -304 -272 -368 -464 -416 -368 -448

00000138 -528 -552 -576 -600 -624 -624 -624 -624

00000140 +708 +637 +566 +559 +552 +513 +474 +499

00000148 +524 +561 +599 +572 +546 +131 -283 +6

00000150 +296 +665 +1034 +1627 +1708 +1669 +1630 +1623

00000158 +1616 +1711 +1806 +1709 +1612 +1531 +1450 +1241

00000160 +1032 +950 +869 +563 +258 -120 +15 -74

00000168 -164 -180 -197 -150 -103 -123 -144 -165

00000170 -186 -325 -464 -283 -102 -305 -508 -487

00000178 -466 -1022 -1066 -534 -514 -578 -642 -642

00000180 +776 +760 +744 +728 +712 +696 +680 +664

00000188 +648 +635 +622 +577 +532 -457 +90 +413

00000190 +736 +924 +1112 +1524 +1936 +2284 +2120 +2116

00000198 +2112 +2267 +2422 +2321 +2220 +2223 +2226 +1973

000001A0 +1720 +1582 +1444 +1242 +16 -2 -20 +26

000001A8 +72 -65 -203 -212 -222 -239 -257 -274

000001B0 -292 -186 -80 +58 -316 -290 -264 -462

000001B8 +364 +2508 +2604 -436 -916 -1012 -596 -596

000001C0 +876 +855 +834 +813 +792 +803 +814 +825

000001C8 +836 +720 +605 +553 +1014 -18 +487 +735

000001D0 +984 +1239 +1494 +1813 +2132 +2343 +2554 +2573

000001D8 +2592 +2639 +2686 +2861 +3036 +2823 +2610 +2525

000001E0 +2440 +2405 +2371 +448 +62 +115 +169 +1438

000001E8 +1172 +970 +768 +533 +299 +217 +135 +52

000001F0 -30 -63 -96 -161 -226 -419 -100 +955

000001F8 -38 +1842 +1674 -990 -1094 -998 -390 -390

00000200 +976 +950 +924 +898 +872 +846 +820 +794

00000208 +768 +806 +844 +786 +1752 +2534 +756 +994

00000210 +1232 +1554 +1876 +2070 +2264 +2594 +2924 +2998

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94 / 142


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95 / 142


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96 / 142


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97 / 142


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4.2.4.3.3.6 Inverse DWT-X (LH1 - HH1)

The following is a dump of the H0 sub-band, as shown in the figure illustrating three-level DWT


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98 / 142


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99 / 142


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100 / 142


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101 / 142


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4.2.4.3.3.7 Inverse DWT-Y (L0 – H0)

The following is a dump of the LL0 sub-band, as shown in the figure illustrating three-level DWT


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102 / 142


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103 / 142


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104 / 142


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105 / 142


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106 / 142


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107 / 142


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108 / 142


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109 / 142


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110 / 142


00000F28 +1112 +223 +358 +333 +308 +275 +242 +209

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4.2.4.3.4 Reconstructed Y Component

The reconstructed Y component is the same as the LL0 band shown in section 4.2.4.3.3.7.

4.2.4.3.5 Reconstructed Cb Component

The following is a dump of the reconstructed Cb component. All the coefficients are displayed in 11.5 fixed-point representation.

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111 / 142


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00000B18 +1240 +1060 +1392 +1788 +1672 +2092 -560 -620

00000B20 -680 -700 -721 -741 -762 -870 -979 -1087

00000B28 -1196 -1423 -1650 -1877 -2104 -2291 -2478 -2857

00000B30 -2724 -2895 -3067 -3110 -3666 +2547 +2103 +2107

00000B38 +2112 +2116 +2120 +2124 +2128 +2128 +2128 +2128

00000B40 +1214 +1170 +1128 +1453 +1779 +1692 +1861 +1807

00000B48 +1753 +1732 +1712 +1803 +1640 +1759 +1623 +1710

00000B50 +1799 +1666 +1790 +1755 +1719 +1628 +1539 +1497

00000B58 +1456 +1352 +1504 +1752 +1745 +1445 -902 -898

00000B60 -894 -907 -921 -935 -950 -1070 -1190 -1310

00000B68 -1431 -1641 -1852 -2062 -2273 -2431 -2590 -2812

00000B70 -2779 -2929 -3080 -3279 -2198 +2298 +2187 +2124

00000B78 +2062 +2081 +2100 +2119 +2138 +2138 +2138 +2138

00000B80 +1172 +1193 +1214 +1747 +1769 +1710 +2163 +2360

00000B88 +2046 +1592 +1651 +1677 +1704 +1954 +1693 +1783

00000B90 +1874 +1654 +1947 +1920 +1893 +1805 +1718 +1695

00000B98 +1672 +1644 +1617 +1717 +1818 +798 -1245 -1176

00000BA0 -1108 -1115 -1123 -1131 -1139 -1270 -1402 -1534

117 / 142


00000BA8 -1666 -1860 -2054 -2248 -2442 -2572 -2702 -2768

00000BB0 -2834 -2964 -3094 -3192 -219 +2306 +2272 +2142

00000BB8 +2012 +2046 +2080 +2114 +2148 +2148 +2148 +2148

00000BC0 +1194 +1150 +1364 +1784 +1694 +1983 +2272 +1441

00000BC8 +2147 +1980 +1813 +1838 +1864 +1909 +1698 +1823

00000BD0 +1949 +1818 +1943 +1989 +2034 +1933 +1833 +1812

00000BD8 +1792 +1712 +1633 +1649 +1923 -536 -1459 -1390

00000BE0 -1322 -1354 -1388 -1421 -1455 -1566 -1678 -1789

00000BE8 -1901 -2078 -2256 -2433 -2611 -2744 -2878 -2915

00000BF0 -2953 -2998 -3044 -3777 +1633 +2298 +1941 +2015

00000BF8 +2090 +2107 +2124 +2141 +2158 +2158 +2158 +2158

00000C00 +1216 +1109 +1514 +1823 +1620 +2001 +1870 +1803

00000C08 +1224 +1600 +1464 +1232 +1000 +1096 +1192 +1352

00000C10 +1512 +1726 +1940 +2058 +2176 +2062 +1948 +1930

00000C18 +1912 +1781 +1650 +1583 +2028 -1871 -1674 -1605

00000C20 -1536 -1595 -1654 -1713 -1772 -1863 -1954 -2045

00000C28 -2136 -2297 -2458 -2619 -2780 -2917 -3054 -3063

00000C30 -3072 -3033 -2994 -2827 +2460 +2035 +2122 +2145

00000C38 +2168 +2168 +2168 +2168 +2168 +2168 +2168 +2168

00000C40 +1190 +1271 +1610 +1756 +1647 +1523 +1144 +1324

00000C48 +1249 +1364 +1224 +1211 +1199 +1255 +1566 +1430

00000C50 +1294 +1404 +1514 +1800 +2087 +2075 +2063 +2003

00000C58 +1944 +1654 +1621 +1811 +979 -1997 -1903 -1888

00000C60 -1874 -1927 -1982 -2036 -2091 -2163 -2236 -2308

00000C68 -2381 -2513 -2646 -2778 -2911 -3005 -3100 -3114

00000C70 -3129 -3039 -3206 -1084 +2317 +2104 +2148 +2159

00000C78 +2171 +2175 +2179 +2183 +2187 +2187 +2187 +2187

00000C80 +1164 +1179 +1195 +1179 +1163 +1302 +1442 +1358

00000C88 +1274 +1385 +1496 +1447 +1399 +1158 +1429 +1508

00000C90 +1588 +1594 +1601 +1543 +1486 +1832 +2179 +2077

00000C98 +1976 +1528 +1593 +1785 -582 -2381 -2133 -2172

00000CA0 -2212 -2261 -2311 -2361 -2411 -2464 -2518 -2572

00000CA8 -2626 -2730 -2834 -2938 -3042 -3094 -3146 -3166

00000CB0 -3186 -3046 -3418 +658 +2174 +2174 +2174 +2174

00000CB8 +2174 +2182 +2190 +2198 +2206 +2206 +2206 +2206

00000CC0 +1202 +1230 +1259 +1272 +1286 +1321 +1356 +1343

00000CC8 +1331 +1405 +1480 +1474 +1470 +1349 +1483 +1522

00000CD0 +1562 +1576 +1591 +1573 +1557 +1589 +1622 +1718

00000CD8 +1816 +1690 +1820 +1694 -2015 -2556 -2330 -2376

00000CE0 -2422 -2610 -2799 -2700 -2602 -2669 -2736 -2803

00000CE8 -2871 -2946 -3022 -3097 -3173 -3182 -3192 -3153

00000CF0 -3115 -3324 -3278 +2256 +2159 +2147 +2136 +2156

00000CF8 +2177 +2189 +2201 +2213 +2225 +2225 +2225 +2225

00000D00 +1240 +1282 +1325 +1367 +1410 +1340 +1271 +1329

00000D08 +1388 +1426 +1465 +1503 +1542 +1540 +1539 +1537

00000D10 +1536 +1559 +1582 +1605 +1628 +1603 +1578 +1617

00000D18 +1656 +1596 +1536 +1604 -2936 -2476 -2528 -2580

00000D20 -2632 -2704 -2777 -2785 -2794 -2874 -2955 -3035

00000D28 -3116 -3163 -3210 -3257 -3304 -3271 -3238 -3141

00000D30 -3044 -3091 -2114 +2319 +2144 +2121 +2098 +2139

00000D38 +2180 +2196 +2212 +2228 +2244 +2244 +2244 +2244

00000D40 +1230 +1255 +1281 +1306 +1333 +1303 +1272 +1338

00000D48 +1405 +1436 +1468 +1500 +1533 +1535 +1537 +1539

00000D50 +1542 +1562 +1584 +1605 +1627 +1601 +1577 +1616

00000D58 +1656 +1807 +1959 -417 -2793 -2797 -2545 -2581

00000D60 -2618 -2687 -2757 -2794 -2833 -2901 -2968 -3036

00000D68 -3105 -3145 -3186 -3178 -3171 -3149 -3128 -3058

00000D70 -2989 -3221 -126 +2281 +2129 +2084 +2040 +2107

00000D78 +2175 +2189 +2203 +2217 +2231 +2231 +2231 +2231

118 / 142


00000D80 +1220 +1229 +1238 +1247 +1257 +1266 +1275 +1348

00000D88 +1422 +1447 +1473 +1499 +1525 +1530 +1536 +1542

00000D90 +1548 +1567 +1587 +1606 +1626 +1601 +1577 +1616

00000D98 +1656 +1763 +1871 +1658 -2138 -2862 -2563 -2583

00000DA0 -2604 -2671 -2738 -2805 -2873 -2928 -2983 -3038

00000DA8 -3094 -3128 -3162 -3100 -3038 -3028 -3018 -2976

00000DB0 -2934 -3352 +1862 +2244 +2114 +2048 +1982 +2076

00000DB8 +2170 +2182 +2194 +2206 +2218 +2218 +2218 +2218

00000DC0 +1210 +1234 +1259 +1283 +1308 +1325 +1341 +1390

00000DC8 +1439 +1457 +1477 +1496 +1516 +1525 +1535 +1544

00000DD0 +1554 +1571 +1589 +1607 +1625 +1616 +1608 +1632

00000DD8 +1656 +1718 +1782 +1685 +1845 +528 -2836 -2728

00000DE0 -2622 -2654 -2687 -2719 -2752 -2763 -2773 -2992

00000DE8 -2955 -3030 -3106 -2813 -2777 -3226 -2908 -3134

00000DF0 -3359 -971 +2186 +2270 +2099 +2075 +2052 +2108

00000DF8 +2165 +2175 +2185 +2195 +2205 +2205 +2205 +2205

00000E00 +1200 +1240 +1280 +1320 +1360 +1384 +1408 +1432

00000E08 +1456 +1469 +1482 +1495 +1508 +1521 +1534 +1547

00000E10 +1560 +1576 +1592 +1608 +1624 +1632 +1640 +1648

00000E18 +1656 +1675 +1694 +1713 +1732 +1871 +986 -827

00000E20 -2640 -2638 -2636 -2634 -2632 -2598 -2564 -2946

00000E28 -2816 -2933 -3050 -2783 -3028 -3169 -1774 +293

00000E30 +2360 +2179 +1998 +2041 +2084 +2103 +2122 +2141

00000E38 +2160 +2168 +2176 +2184 +2192 +2192 +2192 +2192

00000E40 +1232 +1266 +1300 +1334 +1368 +1390 +1412 +1434

00000E48 +1456 +1468 +1482 +1494 +1508 +1520 +1534 +1546

00000E50 +1560 +1578 +1596 +1614 +1632 +1640 +1648 +1656

00000E58 +1664 +1645 +1628 +1705 +1784 +2101 +1908 +1298

00000E60 +688 +1071 -594 -1587 -2580 -2891 -3202 -2281

00000E68 -2640 -2058 -1476 -94 +1032 +2278 +2244 +2209

00000E70 +2176 +2131 +2088 +2091 +2096 +2111 +2128 +2143

00000E78 +2160 +2168 +2176 +2184 +2192 +2192 +2192 +2192

00000E80 +1264 +1292 +1320 +1348 +1376 +1396 +1416 +1436

00000E88 +1456 +1469 +1482 +1495 +1508 +1521 +1534 +1547

00000E90 +1560 +1580 +1600 +1620 +1640 +1648 +1656 +1664

00000E98 +1672 +1617 +1562 +1699 +1836 +1821 +1806 +1887

00000EA0 +1968 +1964 +1960 +2020 +2080 +1936 +1792 +1200

00000EA8 +1632 +1889 +2146 +2083 +2020 +2093 +2166 +2079

00000EB0 +1992 +2085 +2178 +2143 +2108 +2121 +2134 +2147

00000EB8 +2160 +2168 +2176 +2184 +2192 +2192 +2192 +2192

00000EC0 +1296 +1318 +1340 +1362 +1384 +1402 +1420 +1438

00000EC8 +1456 +1468 +1482 +1494 +1508 +1520 +1534 +1546

00000ED0 +1560 +1582 +1604 +1626 +1648 +1656 +1664 +1672

00000ED8 +1680 +1667 +1656 +1739 +1824 +1811 +1800 +1835

00000EE0 +1872 +1881 +1890 +1819 +1748 +1995 +450 +937

00000EE8 +912 +715 +2056 +2019 +1984 +2035 +2088 +2059

00000EF0 +2032 +2085 +2140 +2129 +2120 +2129 +2140 +2149

00000EF8 +2160 +2168 +2176 +2184 +2192 +2192 +2192 +2192

00000F00 +1328 +1344 +1360 +1376 +1392 +1408 +1424 +1440

00000F08 +1456 +1469 +1482 +1495 +1508 +1521 +1534 +1547

00000F10 +1560 +1584 +1608 +1632 +1656 +1664 +1672 +1680

00000F18 +1688 +1719 +1750 +1781 +1812 +1803 +1794 +1785

00000F20 +1776 +1798 +1820 +1874 +1928 +1798 +2180 +674

00000F28 +1216 +2103 +1966 +1957 +1948 +1979 +2010 +2041

00000F30 +2072 +2087 +2102 +2117 +2132 +2139 +2146 +2153

00000F38 +2160 +2168 +2176 +2184 +2192 +2192 +2192 +2192

00000F40 +1328 +1344 +1360 +1376 +1392 +1408 +1424 +1440

00000F48 +1456 +1468 +1482 +1494 +1508 +1520 +1534 +1546

00000F50 +1560 +1584 +1608 +1632 +1656 +1664 +1672 +1680

119 / 142


00000F58 +1688 +1718 +1750 +1780 +1812 +1802 +1794 +1784

00000F60 +1776 +1798 +1820 +1858 +1896 +1750 +1860 +2338

00000F68 +1792 +2134 +1966 +1956 +1948 +1978 +2010 +2040

00000F70 +2072 +2086 +2102 +2116 +2132 +2138 +2146 +2152

00000F78 +2160 +2168 +2176 +2184 +2192 +2192 +2192 +2192

00000F80 +1328 +1344 +1360 +1376 +1392 +1408 +1424 +1440

00000F88 +1456 +1469 +1482 +1495 +1508 +1521 +1534 +1547

00000F90 +1560 +1584 +1608 +1632 +1656 +1664 +1672 +1680

00000F98 +1688 +1719 +1750 +1781 +1812 +1803 +1794 +1785

00000FA0 +1776 +1798 +1820 +1842 +1864 +1958 +2052 +1954

00000FA8 +1856 +1911 +1966 +1957 +1948 +1979 +2010 +2041

00000FB0 +2072 +2087 +2102 +2117 +2132 +2139 +2146 +2153

00000FB8 +2160 +2168 +2176 +2184 +2192 +2192 +2192 +2192

00000FC0 +1328 +1344 +1360 +1376 +1392 +1408 +1424 +1440

00000FC8 +1456 +1468 +1482 +1494 +1508 +1520 +1534 +1546

00000FD0 +1560 +1584 +1608 +1632 +1656 +1664 +1672 +1680

00000FD8 +1688 +1718 +1750 +1780 +1812 +1802 +1794 +1784

00000FE0 +1776 +1798 +1820 +1842 +1864 +1958 +2052 +1954

00000FE8 +1856 +1910 +1966 +1956 +1948 +1978 +2010 +2040

00000FF0 +2072 +2086 +2102 +2116 +2132 +2138 +2146 +2152

00000FF8 +2160 +2168 +2176 +2184 +2192 +2192 +2192 +2192

4.2.4.3.6 Reconstructed Cr Component

The following is a dump of the reconstructed Cb component. All the coefficients are displayed in 11.5 fixed-point representation.

00000000 -2112 -2114 -2116 -2118 -2120 -2122 -2124 -2126

00000008 -2128 -2118 -2108 -2098 -2088 -2150 -2212 -2146

00000010 -2080 -2100 -2120 -2140 -2160 -2164 -2168 -2172

00000018 -2176 -2092 -2008 -2052 -2096 -2132 -2168 -2076

00000020 -1984 -2088 -2192 -2168 -2144 -2136 -2128 -2120

00000028 -2112 -2126 -2140 -2154 -2168 -2150 -2132 -2114

00000030 -2096 -2096 -2096 -2096 -2096 -2096 -2096 -2096

00000038 -2096 -2080 -2064 -2048 -2032 -2032 -2032 -2032

00000040 -2128 -2113 -2098 -2115 -2132 -2133 -2134 -2135

00000048 -2137 -2127 -2117 -2107 -2097 -2117 -2137 -2125

00000050 -2114 -2134 -2154 -2159 -2163 -2135 -2108 -2128

00000058 -2149 -2132 -2116 -2116 -2115 -2115 -2114 -2098

00000060 -2082 -2112 -2142 -2141 -2139 -2133 -2128 -2122

00000068 -2117 -2127 -2137 -2147 -2158 -2146 -2134 -2122

00000070 -2111 -2108 -2106 -2104 -2102 -2101 -2101 -2101

00000078 -2101 -2087 -2073 -2059 -2045 -2045 -2045 -2045

00000080 -2144 -2112 -2080 -2112 -2145 -2145 -2145 -2145

00000088 -2146 -2136 -2126 -2116 -2107 -2085 -2063 -2105

00000090 -2148 -2168 -2189 -2178 -2167 -2107 -2048 -2085

00000098 -2122 -2173 -2225 -2180 -2135 -2098 -2061 -2120

000000A0 -2180 -2136 -2093 -2114 -2135 -2131 -2128 -2125

000000A8 -2122 -2128 -2135 -2141 -2148 -2142 -2137 -2131

000000B0 -2126 -2121 -2117 -2112 -2108 -2107 -2107 -2106

000000B8 -2106 -2094 -2082 -2070 -2058 -2058 -2058 -2058

000000C0 -2160 -2111 -2062 -2109 -2157 -2156 -2155 -2154

000000C8 -2155 -2145 -2135 -2125 -2116 -2132 -2148 -2132

000000D0 -2118 -2154 -2191 -2181 -2170 -2494 -2308 -2393

000000D8 -2479 -2470 -2461 -2243 -2282 -2353 -2167 -2174

120 / 142


000000E0 -2182 -2160 -2139 -2135 -2130 -2128 -2128 -2127

000000E8 -2127 -2129 -2132 -2134 -2138 -2138 -2139 -2139

000000F0 -2141 -2133 -2127 -2120 -2114 -2112 -2112 -2111

000000F8 -2111 -2101 -2091 -2081 -2071 -2071 -2071 -2071

00000100 -2176 -2110 -2045 -2107 -2170 -2168 -2167 -2165

00000108 -2164 -2154 -2145 -2135 -2126 -2180 -2235 -2161

00000110 -2088 -2141 -2195 -2440 -2686 -2371 -1033 -398

00000118 +236 +305 +375 -3 -894 -2096 -2787 -2485

00000120 -2184 -2185 -2187 -2156 -2126 -2127 -2129 -2130

00000128 -2132 -2131 -2130 -2129 -2128 -2135 -2142 -2149

00000130 -2156 -2147 -2138 -2129 -2120 -2119 -2118 -2117

00000138 -2116 -2108 -2100 -2092 -2084 -2084 -2084 -2084

00000140 -2112 -2085 -2058 -2112 -2166 -2067 -2225 -2190

00000148 -2157 -2107 -2057 -2104 -2151 -2119 -2088 -2632

00000150 -2666 -2263 -837 +844 +2526 +3327 +2847 +2847

00000158 +2847 +2726 +2606 +2967 +3070 +2968 +2867 +397

00000160 -2074 -2745 -2137 -2281 -2169 -2202 -2236 -2190

00000168 -2145 -2145 -2147 -2148 -2150 -2152 -2156 -2159

00000170 -2163 -2159 -2156 -2152 -2150 -2130 -2111 -2123

00000178 -2137 -2127 -2117 -2107 -2097 -2097 -2097 -2097

00000180 -2048 -2060 -2073 -2118 -2163 -1967 -2284 -2217

00000188 -2150 -2060 -1971 -2074 -2177 -2315 -2454 -1057

00000190 +1364 +2990 +2568 +2593 +2619 +2369 +2631 +2508

00000198 +2386 +2332 +2278 +2352 +2427 +2913 +2888 +3022

000001A0 +3156 +1302 -2088 -2406 -2213 -2279 -2345 -2251

000001A8 -2158 -2161 -2165 -2168 -2172 -2171 -2171 -2170

000001B0 -2170 -2172 -2175 -2177 -2180 -2142 -2105 -2131

000001B8 -2158 -2146 -2134 -2122 -2110 -2110 -2110 -2110

000001C0 -2112 -2163 -2215 -2235 -2255 -1994 -2247 -2194

000001C8 -2143 -2109 -2076 -2123 -2170 -2270 +700 +3527

000001D0 +2770 +2035 +2325 +2293 +2263 +2178 +2350 +2265

000001D8 +2181 +2129 +2078 +2154 +2231 +2521 +2557 +2559

000001E0 +2562 +3221 +3113 +140 -2832 -2034 -2261 -2199

000001E8 -2139 -2160 -2182 -2188 -2194 -2189 -2185 -2181

000001F0 -2177 -2185 -2193 -2201 -2210 -2154 -2098 -2138

000001F8 -2179 -2165 -2151 -2137 -2123 -2123 -2123 -2123

00000200 -1664 -1755 -1846 -1841 -1836 -1767 -2210 -2173

00000208 -2136 -2159 -2182 -2173 -2164 -2739 +2830 +2735

00000210 +2640 +2361 +2082 +1995 +1908 +1989 +2070 +2023

00000218 +1976 +1927 +1878 +1957 +2036 +2131 +2226 +2353

00000220 +2480 +2581 +2682 +2943 +2692 -2815 -2178 -2149

00000228 -2120 -2160 -2200 -2208 -2216 -2208 -2200 -2192

00000230 -2184 -2198 -2212 -2226 -2240 -2166 -2092 -2146

00000238 -2200 -2184 -2168 -2152 -2136 -2136 -2136 -2136

00000240 -2096 -2166 -2238 -2228 -2220 -2087 -2210 -2173

00000248 -2137 -2189 -2243 -2152 -2318 -2031 +3375 +2861

00000250 +2605 +2305 +2007 +1851 +1697 +1756 +1815 +1810

00000258 +1806 +1756 +1707 +1754 +1801 +1911 +2023 +2149

00000260 +2277 +2299 +2323 +2729 +1345 -2439 -2129 -2217

00000268 -2307 -2349 -2136 -2179 -2222 -2223 -2224 -2193

00000270 -2162 -2171 -2180 -2190 -2199 -2198 -2198 -2213

00000278 -2229 -2172 -2115 -2170 -2225 -2113 -2257 -2257

00000280 -2016 -2067 -2118 -2105 -2093 -2152 -2211 -2174

00000288 -2138 -2221 -2305 -2132 -2472 +212 +2897 +2477

00000290 +2570 +2251 +1932 +1709 +1487 +1524 +1561 +1598

00000298 +1636 +1586 +1537 +1552 +1567 +1693 +1820 +1947

000002A0 +2074 +2019 +1964 +2261 -514 -2321 -2080 -2031

000002A8 -1982 -2283 -2073 -2151 -2229 -2238 -2248 -2194

000002B0 -2140 -2144 -2149 -2154 -2159 -2231 -2304 -2281

121 / 142


000002B8 -2258 -2160 -2062 -2188 -2314 -2090 -2378 -2378

000002C0 -2064 -2094 -2126 -2125 -2125 -2152 -2179 -2159

000002C8 -2139 -2204 -2270 -2144 -2530 +1688 +2834 +2460

000002D0 +2343 +2147 +1953 +1678 +1404 +1387 +1370 +1418

000002D8 +1466 +1416 +1366 +1349 +1332 +1442 +1553 +1663

000002E0 +1775 +1817 +1861 +2415 -2405 -2457 -1999 -2035

000002E8 -281 -1464 -2393 -2378 -2363 -2301 -2240 -2195

000002F0 -2150 -2165 -2181 -2182 -2182 -2199 -2218 -2188

000002F8 -2159 -2756 -2329 -1934 -2307 -2627 -2179 -2307

00000300 -2112 -2123 -2135 -2146 -2158 -2153 -2149 -2144

00000308 -2140 -2188 -2236 -2156 -2588 +3164 +2772 +2444

00000310 +2116 +2045 +1975 +1648 +1322 +1251 +1181 +1238

00000318 +1296 +1246 +1197 +1147 +1098 +1192 +1287 +1381

00000320 +1476 +1617 +1758 +1291 -2760 -2083 -2430 -1273

00000328 -628 -647 -667 -1582 -2498 -2365 -2233 -2196

00000330 -2160 -2187 -2215 -2210 -2206 -2169 -2133 -2096

00000338 -2060 -280 -548 -2448 -1788 -860 -1980 -2236

00000340 -2112 -2120 -2130 -2140 -2150 -2145 -2141 -2137

00000348 -2133 -2147 -2161 -2079 -718 +3207 +2525 +2291

00000350 +2057 +1941 +1827 +1553 +1279 +1174 +1070 +1094

00000358 +1118 +1044 +970 +976 +983 +1001 +1019 +1165

00000360 +1313 +1305 +1555 -212 -2491 -2189 -2401 -867

00000368 -615 -642 -671 -603 -536 -1354 -2172 -2271

00000370 -2370 -2340 -2311 -2330 -2349 -2315 -2282 -2697

00000378 -1321 -420 -543 -394 -757 -741 -2261 -2261

00000380 -2112 -2119 -2127 -2135 -2143 -2138 -2134 -2130

00000388 -2126 -2106 -2087 -2259 +640 +2995 +2279 +2138

00000390 +1998 +1839 +1681 +1459 +1237 +1098 +960 +950

00000398 +940 +842 +744 +806 +869 +811 +753 +951

000003A0 +1150 +995 +1352 -1715 -2222 -2297 -2372 -463

000003A8 -602 -639 -676 -649 -623 -600 -577 -810

000003B0 -1044 -1214 -1384 -1426 -1469 -1183 -897 -483

000003B8 -582 -560 -538 -900 -750 -1134 -2542 -2286

000003C0 -2112 -2117 -2123 -2129 -2135 -2131 -2127 -2123

000003C8 -2119 -2017 -1916 -2886 +1262 +2014 +2256 +2097

000003D0 +1939 +1736 +1534 +1364 +1194 +1022 +850 +806

000003D8 +762 +736 +710 +508 +818 +604 +646 +752

000003E0 +859 +1131 +1149 -2865 -2273 -2339 -1639 -425

000003E8 -493 -522 -553 -566 -581 -677 -773 -661

000003F0 -550 -567 -585 -586 -588 -657 -727 -572

000003F8 -675 -668 -661 -798 -679 -1799 -2407 -2151

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00000DF8 -2428 -2424 -2420 -2416 -2412 -2412 -2412 -2412

00000E00 -1920 -2004 -2088 -2108 -2128 -2148 -2168 -2188

00000E08 -2208 -2214 -2220 -2226 -2232 -2238 -2244 -2250

00000E10 -2256 -2261 -2266 -2271 -2276 -2289 -2302 -2315

00000E18 -2328 -2353 -2378 -2339 -2300 -2477 -1630 -719

00000E20 +192 +232 +272 +280 +288 +400 +512 +752

00000E28 +480 +539 +598 +369 +652 +767 -142 -1211

00000E30 -2792 -2547 -2302 -2345 -2388 -2399 -2410 -2421

00000E38 -2432 -2432 -2432 -2432 -2432 -2432 -2432 -2432

00000E40 -2024 -2070 -2116 -2130 -2144 -2164 -2184 -2204

00000E48 -2224 -2228 -2232 -2236 -2240 -2244 -2248 -2252

00000E50 -2256 -2262 -2270 -2276 -2284 -2296 -2310 -2322

00000E58 -2336 -2319 -2304 -2287 -2272 -2559 -2336 -1855

00000E60 -1376 -2264 -1104 -520 +64 +384 +704 +704

00000E68 +192 -44 -280 -1236 -1936 -3018 -2564 -2349

00000E70 -2392 -2390 -2390 -2388 -2388 -2398 -2410 -2420

00000E78 -2432 -2432 -2432 -2432 -2432 -2432 -2432 -2432

00000E80 -2128 -2136 -2144 -2152 -2160 -2180 -2200 -2220

00000E88 -2240 -2242 -2244 -2246 -2248 -2250 -2252 -2254

00000E90 -2256 -2265 -2274 -2283 -2292 -2305 -2318 -2331

00000E98 -2344 -2287 -2230 -2237 -2244 -2387 -2530 -2481

00000EA0 -2432 -2456 -2480 -2600 -2720 -2448 -2176 -1904

00000EA8 -2144 -2419 -2694 -2585 -2476 -2451 -2426 -2465

00000EB0 -2504 -2491 -2478 -2433 -2388 -2399 -2410 -2421

00000EB8 -2432 -2432 -2432 -2432 -2432 -2432 -2432 -2432

00000EC0 -2104 -2122 -2140 -2158 -2176 -2196 -2216 -2236

00000EC8 -2256 -2256 -2256 -2256 -2256 -2256 -2256 -2256

00000ED0 -2256 -2266 -2278 -2288 -2300 -2312 -2326 -2338

00000ED8 -2352 -2317 -2284 -2281 -2280 -2357 -2436 -2417

00000EE0 -2400 -2408 -2416 -2360 -2304 -2480 -864 -1648

00000EE8 -1408 -1225 -2580 -2509 -2440 -2427 -2416 -2435

00000EF0 -2456 -2446 -2438 -2412 -2388 -2398 -2410 -2420

00000EF8 -2432 -2432 -2432 -2432 -2432 -2432 -2432 -2432

00000F00 -2080 -2108 -2136 -2164 -2192 -2212 -2232 -2252

00000F08 -2272 -2270 -2268 -2266 -2264 -2262 -2260 -2258

00000F10 -2256 -2269 -2282 -2295 -2308 -2321 -2334 -2347

00000F18 -2360 -2349 -2338 -2327 -2316 -2329 -2342 -2355

00000F20 -2368 -2360 -2352 -2376 -2400 -2256 -2624 -1392

00000F28 -1696 -2593 -2466 -2435 -2404 -2405 -2406 -2407

00000F30 -2408 -2403 -2398 -2393 -2388 -2399 -2410 -2421

00000F38 -2432 -2432 -2432 -2432 -2432 -2432 -2432 -2432

00000F40 -2080 -2108 -2136 -2164 -2192 -2212 -2232 -2252

00000F48 -2272 -2270 -2268 -2266 -2264 -2262 -2260 -2258

00000F50 -2256 -2268 -2282 -2294 -2308 -2320 -2334 -2346

00000F58 -2360 -2348 -2338 -2326 -2316 -2328 -2342 -2354

00000F60 -2368 -2360 -2352 -2360 -2368 -2352 -2592 -2192

00000F68 -2560 -2768 -2466 -2434 -2404 -2404 -2406 -2406

00000F70 -2408 -2402 -2398 -2392 -2388 -2398 -2410 -2420

00000F78 -2432 -2432 -2432 -2432 -2432 -2432 -2432 -2432

00000F80 -2080 -2108 -2136 -2164 -2192 -2212 -2232 -2252

00000F88 -2272 -2270 -2268 -2266 -2264 -2262 -2260 -2258

00000F90 -2256 -2269 -2282 -2295 -2308 -2321 -2334 -2347

00000F98 -2360 -2349 -2338 -2327 -2316 -2329 -2342 -2355

128 / 142


00000FA0 -2368 -2360 -2352 -2344 -2336 -2448 -2560 -2480

00000FA8 -2400 -2433 -2466 -2435 -2404 -2405 -2406 -2407

00000FB0 -2408 -2403 -2398 -2393 -2388 -2399 -2410 -2421

00000FB8 -2432 -2432 -2432 -2432 -2432 -2432 -2432 -2432

00000FC0 -2080 -2108 -2136 -2164 -2192 -2212 -2232 -2252

00000FC8 -2272 -2270 -2268 -2266 -2264 -2262 -2260 -2258

00000FD0 -2256 -2268 -2282 -2294 -2308 -2320 -2334 -2346

00000FD8 -2360 -2348 -2338 -2326 -2316 -2328 -2342 -2354

00000FE0 -2368 -2360 -2352 -2344 -2336 -2448 -2560 -2480

00000FE8 -2400 -2432 -2466 -2434 -2404 -2404 -2406 -2406

00000FF0 -2408 -2402 -2398 -2392 -2388 -2398 -2410 -2420

00000FF8 -2432 -2432 -2432 -2432 -2432 -2432 -2432 -2432

4.2.4.4 Inverse Color Conversion

The following is a dump of the decoded 64x64 XRGB image obtained by using the Color Conversion transform matrix (section 3.1.8.2.5) on the reconstructed Y, Cb, and Cr component data. The Y, Cb,

and Cr component data, presented in earlier sections, is in 11.5 fixed-point representation. This

should be converted to floating-point representation before using the transform matrix given in section 3.1.8.2.5. Alternatively, the transform matrix can be appropriately modified to handle fixed-point data.

00000000 00229cdf 00249de0 00259fe2 002ca5e8 00229cdf 00229ce0 00239de0 00229ce0

00000008 00229cdf 00229cdf 00239ce0 00249ce0 00249ce0 00219ce3 001e9ce6 00209ae2

00000010 002299dd 002199de 00209adf 00209ae0 001f9be0 001e9ae0 001d99e0 001c98e0

00000018 001b97df 001e96dc 002194d9 001f93dd 001d93e0 001b94dc 001895d8 001c92db

00000020 00208fde 001b91de 001693df 001793df 001992df 001891df 00178fdf 00178edf

00000028 00168dde 00158cdd 00148cdc 00128cda 00118cd9 00118bd9 00128ada 001289da

00000030 001288db 001187da 001186da 001085da 000f85d9 000f84d9 000e83d9 000d82d8

00000038 000d82d8 000d81d8 000d80d7 000d7fd7 000d7ed6 000d7ed6 000d7ed6 000d7ed6

00000040 00259fe1 0027a1e2 0029a2e3 002ba4e6 00249fe1 00249fe1 00249fe1 00249ee1

00000048 00239ee1 00249ee1 00249ee1 00259de1 00259de2 00249de2 00229de2 00229ce1

00000050 00229bdf 00219ce0 00209ce1 00209ce2 00209ce2 00209ae0 002199de 001f99df

00000058 001d98e0 001e97e0 001f97e0 001d96df 001c95de 001c94e0 001c94e1 001d93e1

00000060 001d92e0 001b93de 001a94dc 001a93de 001a93e0 001992e0 001891df 00188fdf

00000068 00178edf 00168ede 00158edd 00148ddc 00138ddb 00138cdb 00138bdb 00128adb

00000070 001289db 001288db 001187db 001186db 001085db 000f84da 000e83d9 000e83d9

00000078 000e83d9 000e82d9 000e81d8 000e80d8 000d7fd7 000d7fd7 000d7fd7 000d7fd7

00000080 0027a3e3 002aa4e3 002ea6e3 002aa4e3 0026a2e3 0026a1e3 0025a1e3 0025a0e3

00000088 0025a0e3 0025a0e3 00259fe3 00269fe3 00269ee4 00279ee1 00279edf 00259ee0

00000090 00239ee1 00219ee2 00209ee4 00209de4 00219de3 00229be0 002499dc 002299de

00000098 001f98e0 001d99e4 001b9ae7 001c98e2 001c96dc 001e94e3 002092ea 001d94e6

000000A0 001a96e2 001c96de 001d95da 001c94de 001b94e1 001a93e0 001a92e0 001991e0

000000A8 001890e0 001790df 00178fde 00168fde 00158edd 00148ddd 00138cdc 00138bdc

000000B0 00128adc 001289dc 001188dc 001187dd 001086dd 000f85db 000e83d9 000e84da

000000B8 000f84da 000e83da 000e82d9 000e81d9 000e80d8 000e80d8 000e80d8 000e80d8

000000C0 002aa7e5 002da7e4 0031a8e3 002ca6e3 0027a4e4 0027a3e4 0027a3e4 0027a3e4

000000C8 0026a2e4 0026a2e4 0027a1e5 0027a0e5 0027a0e6 0026a0e5 0025a0e4 00259fe4

000000D0 00259ee3 00239ee5 00229fe6 00229fe5 00229fe4 0013a5e6 001b9fe8 0016a0e8

000000D8 0011a0e7 00129fef 00139ef7 001b99ec 00179ae2 00149ce4 001d98e5 001c97e6

000000E0 001b96e7 001c98dc 001d97df 001c96e1 001c94e2 001b94e1 001b93e1 001a93e0

000000E8 001a92e0 001991e0 001890e0 001790df 00168fdf 00158ede 00158dde 00148cdd

000000F0 00138bdc 00128add 001289dd 001188de 001187de 000f85dc 000d83da 000f85db

000000F8 001086db 000f84db 000f83da 000e82da 000e81da 000e81da 000e81da 000e81da

00000100 002caae7 0030aae5 0034abe3 002ea8e4 0029a6e5 0028a6e5 0028a5e5 0028a5e5

00000108 0028a5e6 0028a4e6 0028a3e7 0028a2e7 0028a1e8 0025a2e9 0023a3ea 0025a0e8

00000110 00279ee6 00259fe7 0023a0e9 0018a4f5 000ea7ff 001ba6de 00558ebb 006f839c

129 / 142


00000118 0089797e 008d797c 00917979 007f7b94 005687af 00229bd6 0004a4fd 00109df4

00000120 001c97eb 001c9ada 001c98e4 001c97e3 001d95e2 001c95e2 001c94e2 001c94e1

00000128 001b94e1 001a93e1 001a92e1 001991e1 001890e1 00178fe0 00158edf 00148dde

00000130 00138cdd 00128bde 00128adf 001289df 001188e0 000f85dd 000d83da 000f85db

00000138 001187dd 001086dc 000f84dc 000e83db 000e81db 000e81db 000e81db 000e81db

00000140 0030abe5 0036afe8 0034abe4 002faae5 002ba8e6 0036aee8 0026a6e8 0029a7e7

00000148 002ca8e7 002da7e6 002fa5e5 002ca5e7 0029a4e9 002ba5e5 002ca5e2 0010aaef

00000150 0013adf6 0023a3f8 006091a5 00a6755d 00ec5915 00ff490c 00fa5504 00ff590f

00000158 00ff5d1b 00ff6116 00fa6412 00ff550f 00ff4b0d 00fb4918 00f54823 008e737e

00000160 00269eda 0006a2ff 001d97e2 001799ea 001c97e4 001a98e4 001898e4 001a96e3

00000168 001b95e3 001a94e2 001a93e0 001992e1 001891e2 001790e1 00168fe0 00158fdf

00000170 00138ede 00138ddf 00138ce0 00128be0 001189e0 001087de 000f85db 00138ae0

00000178 000f87dc 000f86dc 000f85dc 000f84dc 000e83db 000e83db 000e83db 000e83db

00000180 0034abe2 003cb4ec 0034ace5 0031abe6 002daae8 0044b6eb 0024a7ea 0029aaea

00000188 002face9 0032a9e6 0035a7e3 0030a7e6 002ba8ea 0025aaf0 0020adf6 004d8ba7

00000190 00b8674c 00ff5510 00f7650c 00f86313 00fa611b 00f0671f 00fc6222 00fb6926

00000198 00f96f29 00f67122 00f3721b 00f26b20 00f16424 00ff5622 00ff531f 00ff4b17

000001A0 00ff440e 00b1615b 001f95e0 00129bf0 001c9ae5 00189ae6 00159be7 001898e6

000001A8 001b95e5 001b95e2 001995e0 001994e1 001892e2 001792e1 001691e0 001590df

000001B0 00148fdf 00148fe0 00148fe1 00128de1 00108be0 001189de 001186dd 00178fe4

000001B8 000e87db 000e87dc 000f87dd 000f85dc 000e84dc 000e84dc 000e84dc 000e84dc

000001C0 0036b1eb 0036b4f0 002eafed 002caeec 002aadec 0041b4ef 0029abe9 002cabe8

000001C8 002fabe7 0031abe6 0032aae6 002faae7 002ca9e8 0025a7eb 00946a5f 00ff3e06

000001D0 00f95618 00e27312 00f87329 00f77427 00f77626 00f27628 00f8712b 00f9772e

000001D8 00f97e30 00f77f2e 00f5812b 00f57b2c 00f5752d 00fd6a2b 00fb652a 00f65e2c

000001E0 00f1572e 00ff4810 00ff460f 00817680 0002a7f1 002496ea 00199be4 001b98e4

000001E8 001d96e5 001b96e2 001a96e0 001995e1 001794e3 001793e2 001692e1 001691e0

000001F0 001590df 001591e1 001591e3 00138fe1 00108ce0 00128be0 00158ae0 00168de2

000001F8 000f89dd 000f88dd 000f88dd 000f86dd 000f85dc 000f85dc 000f85dc 000f85dc

00000200 005fc1e7 0057bee8 004fbbe9 004ebae6 004ebae3 0051b6ee 002eaee8 002eade6

00000208 002fabe5 002face7 002eade9 002eace7 002daae5 0015b2ff 00ec4310 00f15016

00000210 00f75d1c 00f87123 00f9862a 00f6882d 00f48b31 00f48532 00f47f33 00f78535

00000218 00fa8c37 00f88e39 00f7903a 00f88b38 00f98635 00f87e35 00f77635 00f76d34

00000220 00f76532 00f85e31 00f95730 00ff5125 00f65237 0003a5fd 001e9be1 001e98e3

00000228 001f96e5 001c97e2 001a97df 001896e1 001795e4 001794e3 001793e2 001692e1

00000230 001692e0 001693e2 001794e4 001391e2 000f8ee0 00148ee1 00198ee3 00148ce1

00000238 000f8bde 000f8ade 000f89de 000f88dd 000f86dd 000f86dd 000f86dd 000f86dd

00000240 003cb6ee 0036b4ef 0030b2f0 0030b1ee 002fb1ec 0038b0ef 002eaee9 002faee8

00000248 0031ade6 002fafe8 002eb1ea 0031adec 0029afee 0030aac8 00ff3d05 00fa501a

00000250 00f96021 00f87428 00f7882f 00fa9638 00f59b38 00f5973b 00f6923e 00f89440

00000258 00fa9742 00fa9a44 00fa9d46 00f99845 00f89444 00f98d43 00fa8641 00f97d3f

00000260 00f9743d 00f77039 00f56d35 00ff6122 00bf6c63 00129eef 00229ae8 001c99ed

00000268 00179ce4 001498f0 001b94e1 001a96e2 001998e3 001897e4 001896e5 001895e4

00000270 001993e2 001792e1 001590df 001692e2 001793e5 001490e4 00128ee2 00118de3

00000278 00108de3 00118bde 001289d9 000f88e2 000c89dd 001085e0 000987e4 000987e4

00000280 0040b5e9 003bb4e9 0037b2ea 0037b2e9 0038b1e8 0033b0ea 002eaeeb 0030afe9

00000288 0033afe8 0030b2ea 002eb5ec 0034aff2 0025b4f7 008d7f86 00f64f00 00ed5c1e

00000290 00fa6326 00f7762d 00f58a35 00fea242 00f7ab3f 00f7a843 00f7a548 00f9a34a

00000298 00faa24c 00fba64f 00fcaa52 00f9a652 00f7a252 00fa9c50 00fd974e 00fc8d4b

000002A0 00fb8348 00f68341 00f1823a 00f5732c 00718cac 00179af0 002599ef 002697e9

000002A8 00269bc6 001696f1 001d91e3 001c96e3 001b9be3 001a99e6 001998e9 001b97e7

000002B0 001c95e5 001891df 00138dda 001992e2 001e98ea 001592e6 000b8de2 000e8ee5

000002B8 00108fe9 00128cdf 001489d4 000e88e6 00088cdc 001184e4 000488ec 000488ec

000002C0 003eb6ea 003bb5eb 0038b4eb 0038b4eb 0038b3eb 0035b2eb 0033b1ec 0034b1eb

000002C8 0035b1ea 0032b3e9 0030b5e9 0034b0f0 0023b6f8 00c56044 00f9540c 00f26322

000002D0 00f77029 00f77d2f 00f78b35 00fba142 00f6b046 00fbb44f 00f7b051 00f9af54

000002D8 00fbad56 00fcb25a 00feb75d 00fab35f 00f6b061 00faac5d 00fda95a 00fb9f55

000002E0 00f99551 00f7914b 00f68d45 00ff7e23 001ba5f0 00129ef4 002896f1 00239fb1

000002E8 006c9600 003c9c82 00179ef8 00169cf4 00149de3 00169ae5 001897e7 001995e6

130 / 142


000002F0 001a93e5 001993e3 001793e0 001c98e6 001a95e5 001692e5 00138fe5 00138ceb

000002F8 00138be3 000087e4 00007cf5 001a86d3 000d8cf1 00008fe2 000d85ea 000886f1

00000300 003cb7ec 003bb7ed 003ab6ed 0039b6ed 0038b5ed 0037b5ed 0037b4ed 0037b3ed

00000308 0036b3ec 0034b4e9 0031b5e5 0035b1ef 0021b8fa 00fd4203 00fc581e 00f86a26

00000310 00f47c2d 00f78431 00f98c36 00f8a041 00f6b54d 00fec05b 00f6bc5a 00f8ba5d

00000318 00fbb861 00fdbe65 00ffc469 00fbc16c 00f5bd70 00fabc6b 00febb66 00fab160

00000320 00f6a75a 00f89f55 00fa984f 00df956f 0008a6fc 00259ddb 00159ff3 004aa172

00000328 0069a90d 0062a406 005a981b 0034969b 000e99ff 001297f2 001695e4 001793e5

00000330 001892e5 001995e6 001a98e7 00209deb 001593df 001892e4 001a91e9 002095eb

00000338 00259dd1 00d0f772 00c1f396 000083f1 001782a0 003c7e2f 001787cc 000b8ada

00000340 003db9ed 003cb8ed 003bb8ed 003ab7ed 0039b7ed 0039b7ed 0039b6ed 003ab6ed

00000348 003ab6ed 0037b4ed 0034b2ec 0035abf3 006e96b3 00ff4601 00f86520 00f67329

00000350 00f58131 00f78b37 00f9953e 00f8a649 00f8b854 00fcc260 00f8c465 00f9c36a

00000358 00fac26e 00fac773 00facb77 00fbcb7b 00fccb7e 00fac87b 00f8c578 00f9bc72

00000360 00fbb46d 00f6b069 00feaa57 0094a0a5 0013a1f3 00219df0 00199eff 0071c124

00000368 0079b826 0072b21e 006aaa24 0067a125 00649a19 00419d72 001f9fcb 001994ff

00000370 001399f1 00199cf4 001ea0f8 001b9cff 001193f6 001293f1 001393ec 000083ff

00000378 0072cca0 00cbf982 00d0ffac 0079a046 00337700 003a7c03 000d8de2 000d8edb

00000380 003fbbee 003ebaed 003db9ed 003cb9ed 003bb8ed 003bb8ed 003cb9ee 003cb9ee

00000388 003db9ef 003ab4f1 0037aff3 0032b3fe 00b48f7d 00ff5907 00f37122 00f57c2b

00000390 00f68735 00f7923d 00f89d45 00f9ac50 00f9bb5a 00f9c465 00facd71 00facd76

00000398 00facd7b 00f7cf80 00f4d286 00fcd689 00ffd98c 00fbd48b 00f3cf8a 00f9c885

000003A0 00ffc17f 00f5c27d 00ffbc5e 0048abdc 001e9deb 001ea2e8 001da8e5 0099d31c

000003A8 008acb22 0082c427 007abc2c 0075b429 0070ad25 006dab17 006ba908 005ea912

000003B0 00519f54 00489b6d 003e9887 003b9592 00389880 00449663 00509446 0083b43c

000003B8 004f851b 00afe187 009fcc83 00368011 0043821c 0032853c 000492f9 001092dd

000003C0 0040bcee 003fbcee 003ebbee 003dbaed 003cbaed 003cb9ed 003cb9ec 003cb9ec

000003C8 003cb8ec 003fb4f0 0043aff5 000ebbe9 00ffb897 00f7814d 00f57623 00f6812e

000003D0 00f88c39 00f89943 00f8a64d 00f8b257 00f9bd60 00fac96d 00fbd47b 00fad681

000003D8 00fad788 00fbd98e 00fbda93 00fae5a1 00fed692 00fadea0 00f9db98 00fad694

000003E0 00fbd090 00ffd285 00ffc778 00009afd 0026a8f2 0020a4f8 0053bea5 00a4da31

000003E8 009dd638 0097d03a 0091ca3d 008bc539 0085c035 007dbe31 0074bc2d 0076b81c

000003F0 0077b027 0072ab25 006da724 006ba328 0068a31f 0058951a 0078b745 00bbf181

000003F8 0073ad4c 00417c15 00508b1e 0043861c 00498614 0017868b 000b90f6 00168ee8

00000400 0042beef 0041bdee 0040bcee 003fbced 003ebbed 003dbaec 003db9eb 003cb8ea

00000408 003bb7e9 0039b9f0 0037bbf7 0050b5dc 00ff9744 00fec49d 00f87a24 00f88530

00000410 00f9913d 00f8a049 00f7af55 00f8b85d 00f9c065 00face75 00fcdb85 00fbde8d

00000418 00fae195 00fee29b 00ffe2a0 00fbe9a4 00ffbe6b 00fdde9f 00ffe8a6 00fbe3a3

00000420 00f8dea0 00fdd899 00b6bdab 00119ff1 001ea4e9 001a9fff 0089d465 00b0e245

00000428 00b0e04e 00acdc4e 00a7d94e 00a1d649 009ad345 0097ce3d 0094c935 008dc534

00000430 0086c133 007bbc32 006fb731 006db330 006cae2e 007eba3f 0070a531 007bb54f

00000438 00579a20 005c9f2b 00519425 0080b965 00609a1d 000390e3 00118ef2 001c89f2

00000440 0044c0ef 0043bfef 0042beee 0040bdee 003fbcee 003fbbed 0040baeb 003eb9ed

00000448 003cb9ee 0037b9eb 0027bcf7 00949c8f 00fb9637 00f9bc7c 00f9b585 00f7994a

00000450 00f69b43 00f6a64e 00f7b259 00f8bc66 00fac672 00fad380 00fae08d 00f9e698

00000458 00f9eba2 00feeaa6 00ffeaab 00fcefa9 00faba62 00fbdc99 00fff4b9 00fbecb2

00000460 00f7e6ab 00ffe5a3 0064b1d1 00199ff0 00269fe9 000499f2 00e3f051 00d5ef58

00000468 00c0e364 00bde165 00bae065 00b5de5d 00b0dc56 00aad74e 00a3d346 009bd043

00000470 0093cd3f 008cc93e 0084c63c 0081c139 007dbc36 008bc746 0089c245 0063a02c

00000478 0065aa2c 005ea42d 00509626 00a4cf98 00d9eadd 00b9ddff 00389ef4 00008fd4

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000004C0 0048c3ef 0046c2ef 0045c1f0 0043c0f0 0042bff0 0042beee 0043bdec 0041bcef

131 / 142


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00000698 002fb5ed 0020acf3 0010a3fa 0070c9f3 00f5f9df 00f6fbde 00f6fdde 00d8ebe4

132 / 142


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00000788 001a75c7 000058ad 00015bb4 00066fc0 000b84cd 000093ce 0011a7e0 003eb9e6

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000007C8 000752b1 00045fb9 000a74c9 000882ce 000691d4 0002a0d5 0024b5e7 004cc4ea

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00000848 00096fca 000b80d4 000588d5 000598db 0005a8e1 0018b6e6 003fc8f2 0063d3f3

00000850 0086dff5 0091e4f7 009ce9fa 00aef0f9 00c0f7f9 00cbfafb 00d7fdfd 00defdfc

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00000870 00cbe367 00b9e153 00a6dd4d 0075c57f 0043adb0 00229bf3 000a9cff 000998f6

133 / 142


00000878 00109cef 00189aee 00149ded 00159bf0 001599f2 001397f0 001195ee 001195ee

00000880 005ad1f6 0057cff5 0054cef4 0054cdf6 0053cbf8 004dd3f4 002c9add 00045ec1

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000009C8 000488d9 000497e0 0005a6e6 0001ade7 0000b5e8 0007beea 0023cbf5 004cd7f8

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00000A00 0062d4fc 005dd4f9 0059d4f6 0056d1f6 0053cef5 00014ebe 00026fcd 00057bd4

00000A08 000787da 000996e0 000ca5e7 000bb0e9 0009bbeb 0015c5f3 0021d0fc 0046dafc

00000A10 006ce3fc 0082e6fd 0097e9fe 0099e9fe 009ce8fe 009ee9fb 00a0e9f9 00a6eefa

00000A18 00acf3fc 00b0effc 00b5ecfb 0089ddf9 0028b4f3 003ebef7 001eadf7 00bde8f0

00000A20 00fefff2 00fefff3 00fdfff4 00fefef2 00fefef0 00fefeea 00fefee4 00fefede

00000A28 00fefed8 00fcffc9 00fbffba 00f6fea0 00ffffce 00fff9f6 00ffffc9 00fdf7be

00000A30 00f8f87a 00f9f66b 00f9f35c 00f5ee56 00f1e84f 00f8ee37 003fa7ea 00189df5

00000A38 00179df4 00169cf1 00159bee 00169af2 001798f5 001596f3 001394f1 001394f1

00000A40 0066d7fc 005fd1f5 0060d4f6 0059d8f9 00399ddb 000858be 00096ccd 000c7ad2

00000A48 001087d7 001296df 0013a6e8 0013b0eb 001bc3f5 000fc8f3 0017d0f9 0027d3f4

134 / 142


00000A50 004bd7f7 0061dbf8 0077def9 007fe0fa 0088e1fa 008de4fb 0091e7fb 0096eafc

00000A58 009aedfd 009feafb 00a3e7fa 005eccfb 002db7f5 0024b8f9 0014b1f5 00fffbff

00000A60 00feffec 00ffffed 00ffffee 00ffffec 00fefdeb 00fefde4 00fefddd 00fefed6

00000A68 00fefece 00fcfdc1 00fcfcb5 00f6fb8d 00f8fc8a 00f8facc 00f8fef2 00f9ffbe

00000A70 00fbf9c2 00fbf8ac 00fcf796 00faf491 00f7f18d 00ffe5a9 000096f7 00089af7

00000A78 00159ef7 00169df4 00169cf0 00169bf2 001699f4 001497f3 001396f1 001396f1

00000A80 006bd9fb 0061cef1 0067d3f7 005cdefd 001f6cc0 000f63bf 000f6acd 001478d1

00000A88 001887d4 001997df 001aa6e9 0014a9e4 001dbbef 000dbeeb 0023c5f6 0013c6ed

00000A90 002acbf3 0040cff4 0056d4f4 0065d7f6 0074daf7 007bdffb 0083e5fe 0086e6fe

00000A98 0089e8fd 008ee5fb 0092e2fa 0033bcfc 0032b9f7 0031bafd 0057c5f7 00f4ffde

00000AA0 00fdffe7 00ffffe7 00ffffe7 00ffffe6 00fdfce6 00fdfddd 00fdfdd5 00fdfdcd

00000AA8 00fefdc5 00fdfaba 00fcf8af 00fef99f 00fffb8e 00fafe77 00f4fb7d 00f9f8d2

00000AB0 00fdffee 00fefedf 00fffcd0 00fefacd 00fdf9ca 00a6d3ce 000399eb 001ea1ec

00000AB8 00149ffa 00159ef6 00179ef2 00169cf3 00159af3 001499f2 001398f1 001398f1

00000AC0 0055d4f4 005bd1f1 0069d6f6 006ee2ff 000c50a8 001161be 000f6acd 001f83d6

00000AC8 001f89dc 000f8cdd 001a9be0 0022b1f4 001dabe1 0014aedf 0026bdee 0015bae7

00000AD0 001fc1ef 0025c7ef 002bcdef 003dcdf1 004ecef3 005bd6f9 0068defe 006eddfc

00000AD8 0073ddfb 0076ddf5 0070d3f7 0031bafb 0033b9f6 0024b6ff 00a4dee5 00f9ffdc

00000AE0 00fdfedc 00ffffdc 00ffffdc 00fefedb 00fcfdda 00fdfdd2 00fdfdcb 00fdfdc3

00000AE8 00fefdbc 00fdfbaf 00fcfaa2 00fdfb93 00fefb83 00fcfd6b 00f9fc60 00fbf85d

00000AF0 00fdf74c 00fef576 00fff2a1 00f6ec87 00f8e360 0051bbb4 000d9afe 001a9ef7

00000AF8 00159ef6 00159df4 00159df2 00149bf2 001299f2 001299f2 001299f2 001299f2

00000B00 0067d4fd 0069d6f9 006cd9f5 004fb7dc 001953af 001c67c6 00005abd 001a7eca

00000B08 00157bd4 000581dc 002aa1e7 000189d3 002dabe3 0023a7dc 0029b4e6 0017ade1

00000B10 0014b7ec 0015b9ea 0016bbe9 001fbfec 0028c2ef 003bcdf7 004ed8ff 0056d5fb

00000B18 005dd2f8 005ed6f0 004ec5f4 002fb9fa 0035b8f4 0017b1ff 00f0f7d2 00feffda

00000B20 00fdfcd2 00fdfdd1 00fdfed1 00fdfecf 00fcfecd 00fcfdc7 00fdfdc0 00fdfdb9

00000B28 00fdfdb2 00fdfca4 00fdfc95 00fdfc87 00fdfc79 00fdfa6c 00fef85f 00f9f645

00000B30 00f6ef47 00f2e938 00efe428 00eee425 00ffdd05 000399ff 0017a1f5 00179ef4

00000B38 00169cf3 00159cf3 00149cf3 00129bf1 001099f0 00119af1 00129bf2 00129bf2

00000B40 0066d5fb 0070d5fc 0078e2ff 003b86c7 00235fba 001e6aba 00227ad1 002787d8

00000B48 00248cd7 001d8dd4 002189d1 002ca1ea 002296d5 0031aaef 0020a1db 0017a1dd

00000B50 000ea1e0 001aace3 0013b1eb 0010b8ed 000dc0ef 001cc1ef 002cc3f0 0036c4f2

00000B58 0040c5f4 0047c9f2 0045c3f6 0031bafa 0031b7f7 004cc2f4 00f5fac0 00fdffc6

00000B60 00fdfcc5 00fdfdc4 00fdfdc4 00fcfdc2 00fbfdc1 00f8f9b6 00fdfdb3 00fdfdab

00000B68 00fdfca3 00fcfc95 00fcfb88 00fcfb7b 00fbfb6d 00fcf962 00fcf757 00f8f245

00000B70 00f4eb41 00f0e532 00ebe023 00fbe01c 00c5d244 000aa2fe 00169ff9 00179ff6

00000B78 00189ff3 00179ef2 00159df2 00179ff5 0018a1f8 00159ef5 00129bf2 00129bf2

00000B80 0065d7fa 0064d1f7 005de7ff 0004439b 000e4ca5 00317bcd 000455c1 000053c9

00000B88 000368c6 002687ca 002881ca 002789d1 002791d7 000774c9 00178dcf 001f9ce1

00000B90 00179be4 001e9eda 000097de 0003a5e6 0008b1ee 0009b0e8 000aafe2 0017b4e9

00000B98 0024b9ef 0030bdf4 003cc1f9 0034bcf9 002cb6f9 0080d2e8 00fafdaf 00fcfdb3

00000BA0 00fdfcb7 00fdfcb7 00fdfdb7 00fcfcb6 00fbfcb5 00f4f4a5 00fdfda5 00fcfc9d

00000BA8 00fcfc94 00fbfb87 00fbfb7b 00fafa6e 00fafa61 00faf758 00faf54e 00f7ee44

00000BB0 00f3e73a 00ede12c 00e7db1e 00ffd21a 0078b090 0009a0fd 00159dfd 0018a0f8

00000BB8 001aa2f2 0018a0f2 00169ef2 00139bf2 001099f1 00119af2 00129bf3 00129bf3

00000BC0 0060d4f7 0067dcfd 004fc2f0 00002c8a 002e6bc0 000547ad 000044ba 003685c4

00000BC8 00064ebc 001462c3 002d70cb 000f5ab4 002274cd 001169c2 001979c2 001d80d0

00000BD0 001980d7 001a86d3 001090de 00038dda 000599e6 00059ce1 00049edd 0005a6e1

00000BD8 0000a7de 001fb6ee 0039bdf7 0038bcf6 0024b5fc 00bfe8b9 00fafea2 00fbfca5

00000BE0 00fcfaa8 00fcfca7 00fdfda6 00fbfca3 00f9fb9f 00f6f795 00fafb92 00fbfb8b

00000BE8 00fbfb85 00fafa79 00fafa6d 00f9f961 00f8f956 00f9f64c 00f9f442 00f5ec39

00000BF0 00f2e531 00efde28 00ecd620 00eed900 0032a6e5 0019a4ff 0029a4f4 0020a2f4

00000BF8 0018a0f5 00179ef4 00159df4 00139bf3 001199f2 00129af2 00129af3 00129af3

00000C00 005bd1f5 0063dffa 00318dcc 00062d91 000e499a 0000369f 00003897 00155fb6

00000C08 0053aad9 0031a6e2 0045bcef 006dddff 0076defa 006dd9f9 0064d5f9 0054c5f3

00000C10 0045b5ed 00238ed6 001277ce 00006cc6 000282de 000187db 00008dd7 00079be1

00000C18 000099dc 0022b1f0 0036baf4 003cbcf4 001cb5ff 00fffe89 00fbff96 00fbfc98

00000C20 00fbf99a 00fcfb98 00fdfd96 00fafb90 00f6f98a 00f7f984 00f8fa7f 00fafa7a

135 / 142


00000C28 00fbfb75 00fafa6a 00f9f960 00f8f855 00f7f84a 00f7f540 00f8f336 00f4eb2f

00000C30 00f0e328 00f0da24 00f0d121 00e9ca24 00049bff 0020a3f6 0016a1f7 0016a0f7

00000C38 00169ef7 00159df6 00149cf5 00139bf4 00129af3 00129af3 00129af3 00129af3

00000C40 005ae3ff 0064d8ff 000d4798 00002682 001d6bb7 003aa2de 005fe5ff 0052d8fd

00000C48 004dd6f6 0048ccf5 005fd0f6 0068d9ff 0061d3f8 005bd2f8 0042cbff 0053cefe

00000C50 0051cff5 0049caf6 004acdff 0040baff 000e7edb 000069c2 000584da 000184d5

00000C58 00068cd8 0038bef8 003abef7 0035beff 0062c7e2 00fbf379 00f8fa83 00f9f983

00000C60 00faf884 00f9f77f 00f7f77b 00f8f979 00f9fa77 00f8f972 00f7f86c 00fcfc6c

00000C68 00f9f864 00f8f85b 00f8f752 00f7f649 00f6f53f 00f5f237 00f4ef2f 00f1e628

00000C70 00eede20 00ead61f 00f2cc11 009db96c 000c9ffe 001ba3f9 0017a2f9 0017a0f9

00000C78 00169ef8 00169df7 00159cf6 00149bf5 00139af5 00139af5 00139af5 00139af5

00000C80 0060d8f9 005bd9f8 004cadd7 0069ddff 0056ddf8 0055d6fc 0055d0ff 005cd5ff

00000C88 0053cbf2 004bcaf6 0043cafa 0047c9f8 004cc8f6 005ccff1 0046ccf8 0055caff

00000C90 003ec4fa 0043c3fb 0048c2fd 003ebff4 0044ccfb 0037b3fc 000b7bdd 00006dc9

00000C98 000d80d4 004eccff 003ec3fa 002ec2ff 00a7dea8 00f8ec5b 00f5f570 00f7f66f

00000CA0 00faf76e 00f5f467 00f1f060 00f6f663 00fbfc65 00f8f95f 00f6f659 00fefe5d

00000CA8 00f7f652 00f7f54c 00f7f545 00f6f33d 00f6f235 00f3ef2f 00f1eb29 00efe221

00000CB0 00ecd818 00e5d21a 00f3c700 0052a9b4 0014a4fb 0015a3fb 0017a3fc 0017a1fa

00000CB8 00179ff8 00169df8 00159cf7 00159bf7 001499f6 001499f6 001499f6 001499f6

00000CC0 0058cff2 0059ddfd 0055d5f9 005ddeff 004dcef3 004dcbf3 004cc8f3 0056d2fc

00000CC8 0059d3fd 0050cefb 0047cafa 0048c9f9 0049c7f9 0051cbf6 0045c9f9 004bc8fd

00000CD0 003fc5f9 0041c4fa 0043c2fb 003bbdf3 003ac0f4 003ec7fc 003ac6fc 0025a1e3

00000CD8 001f8dd9 0037b9f7 0026bbfa 002abbf4 00ced857 00f9fa5b 00d9db49 00edec58

00000CE0 00faf560 00f2ef4d 00e9ea3b 00eeef46 00f2f451 00f9f34f 00edf145 00fef84b

00000CE8 00f4f542 00f5f43d 00f6f337 00f5f131 00f5ef2b 00f2eb27 00f0e622 00eedb1d

00000CF0 00ecd117 00f1cc09 00f5c509 000fadff 0017a1f9 0018a1f9 0018a1f8 0018a0f9

00000CF8 00179ff9 00169df9 00169cf8 00159bf8 001599f8 001599f8 001599f8 001599f8

00000D00 0060d5fb 005bd3fb 0056d2fb 0055d1fc 0055d0fe 0054d0fa 0053d1f6 0051cef7

00000D08 004ecbf8 004dcbf9 004ccafb 0049c8fb 0047c6fc 0045c6fb 0043c6fa 0041c6fa

00000D10 0040c7f9 003fc5f9 003ec3f9 003fc3fb 0041c4fd 0038baf2 0040c1f8 003dc3fb

00000D18 003bc5fe 0037c1f6 0034beef 002ebcf0 00ded722 00bfdc38 00dee142 00ecea4a

00000D20 00eae442 00eee942 00f2ee42 00eeed3f 00eaec3d 00fbee3f 00e5ec31 00fff239

00000D28 00f2f531 00f4f32e 00f5f12a 00f5ee25 00f4ec21 00f2e71e 00f0e11c 00eed519

00000D30 00ecc917 00dec40c 00bbbe39 000798f8 001a9ff8 001a9ff7 001a9ff5 00189ff7

00000D38 00179ff9 00179ef9 00169cf9 00169bf9 001699f9 001699f9 001699f9 001699f9

00000D40 005cd4f9 0058d4f9 0055d3f9 0056d2fa 0058d0fb 0056d0f8 0054d0f6 0051cef7

00000D48 004dccf9 004ccbfa 004bcafb 0049c8fb 0047c7fb 0045c7fb 0043c6fa 0041c6fa

00000D50 0040c6f9 003fc4f9 003ec3f9 003ec2fa 003ec2fb 003abef5 003ec2f8 003bc1f9

00000D58 0037c0f9 0036beff 0035bbff 0067bb84 00b0d219 00b4d31a 00d3da39 00e2dd3d

00000D60 00d6d532 00e1df38 00ece93e 00e1e636 00e9e536 00f1e634 00e5e42b 00f6e62e

00000D68 00e9eb29 00f0ee2a 00f0e824 00ece420 00e9e01d 00ebdb1c 00edd71c 00e9ce19

00000D70 00e5c516 00e7c004 006cb292 00109dfc 0018a1f7 001aa0f5 001ca0f3 0019a0f6

00000D78 00179ff9 00169ef9 00169cf9 00159bf8 00159af8 001499f8 001499f7 001499f7

00000D80 0058d4f6 0056d4f6 0054d5f7 0057d3f7 005bd1f8 0058d0f6 0054cff5 0050cef8

00000D88 004dcdfa 004bcbfb 004acafb 0048c9fb 0046c7fb 0045c7fa 0043c7fa 0042c6fa

00000D90 0040c6f9 003fc4f9 003ec3f9 003dc1f9 003cc0f9 003cc1f8 003cc2f7 0038bff6

00000D98 0034bbf5 0035bdfd 0037beff 0046bcfc 0082c92c 00a0be02 00b8c420 00d8cf31

00000DA0 00d2d632 00d4d52e 00d7d42a 00cdd725 00e9df2f 00e6dd2a 00e4dc25 00edd922

00000DA8 00e0e220 00ede927 00eae01e 00e4da1c 00ded319 00e5d01a 00ebcd1b 00e5c818

00000DB0 00dec214 00f0bc00 001da5eb 0019a1ff 0016a2f7 0019a2f4 001ea2f1 001aa0f5

00000DB8 00169ff9 00169ef8 00159df8 00159cf8 00149bf8 00139af7 001299f6 001299f6

00000DC0 005ed5f9 0063d6fc 0068d6ff 005fd3fc 0056d0f8 0053cff8 0051cef8 004ecdf9

00000DC8 004bccfb 004acbfb 0048cafb 0047c9fa 0046c8fb 0044c7fa 0043c7fa 0042c6fa

00000DD0 0040c5f9 003fc4f9 003ec3f9 003dc1f9 003cc0f9 003bc1f9 003bc1f8 0038bff7

00000DD8 0036bdf7 0035bdfa 0034bdfe 0022c3f6 0027bbfc 0053b0b2 009bc606 00c1d322

00000DE0 00d3dd36 00b4ba12 00c4c71f 00c5cf22 00d9d82d 00dfdb30 00dcd52b 00e8d520

00000DE8 00d5d51c 00e8e428 00ece324 00d1ce1f 00d3c51d 00dcc302 00cfc312 00e3c209

00000DF0 00e3be00 0084bf6e 000ca0f6 00129ffd 0018a2f6 0019a1f5 001ba1f4 0018a0f6

00000DF8 00169ff8 00159ef8 00159df8 00149cf7 00139bf7 00129af6 001098f4 001098f4

136 / 142


00000E00 0065d7fb 005dd4fa 0056d2f8 0053d0f9 0050cff9 004fcef9 004dcdfa 004bcdfa

00000E08 004accfb 0048cbfb 0047cafb 0046c9fa 0045c8fa 0044c7fa 0043c7fa 0042c6fa

00000E10 0040c5fa 003fc4f9 003ec3f9 003dc1f9 003bc0f9 003ac0f9 0039c0f9 0038bff9

00000E18 0037bff9 0034bef8 0031bcf7 0033bbf8 0035bbfa 002cbcff 0061c2df 0093cb85

00000E20 00c5d52b 00cbd82f 00b0bb13 00b5be17 00b9c21b 00c7c826 00c5bf21 00dbc817

00000E28 00cac819 00dbd722 00ddd61a 00b7bd0d 00c8bd04 00d0c000 00adc951 006cb8b1

00000E30 0004a3ff 0013a4fb 0021a4f5 001ea3f5 001aa1f6 0019a1f6 0018a0f7 0017a0f7

00000E38 00169ff8 00159ef7 00149ef7 00139df7 00139cf6 00119af4 000f98f2 000f98f2

00000E40 005cd5f9 0058d3f8 0053d1f8 0052d0f9 0050cff9 004ecefa 004ccdfa 004accfa

00000E48 0048ccfa 0047cbfa 0046cafa 0045c9fa 0044c8fa 0043c7fa 0042c7fa 0041c6fa

00000E50 0040c5fa 003fc4f9 003ec2f9 003cc1f9 003bc0f9 003ac0f9 0038bff9 0037bff9

00000E58 0036bff9 0035bdf6 0034bbf3 0035b9f7 0035b8fb 0022b5ff 002fb5ff 004dbae6

00000E60 006bbfce 0027b1c5 006cbc7c 008abd49 00a7be15 00b9bf09 00ccc000 00dac43d

00000E68 00bbca20 00aec73e 0099bc54 005aad8b 0036abc4 0004b3ff 0015a7ff 0021a4ff

00000E70 0019a0fb 001ba2fa 001da4f9 001ba3f8 001aa1f7 0019a1f7 0018a0f7 0017a0f7

00000E78 00169ff8 00159ef7 00149ef7 00139df7 00129cf6 00119af5 000f99f3 000f99f3

00000E80 0053d2f6 0052d1f7 0051d1f8 0050d0f9 004fcffa 004dcefa 004bcdfa 0049ccfa

00000E88 0047cbfa 0046caf9 0045caf9 0044c9f9 0044c8fa 0043c7fa 0042c6f9 0041c6f9

00000E90 0040c5fa 003fc4f9 003dc2f9 003cc1f9 003ac0f9 0039c0f9 0038bff9 0036bff9

00000E98 0035bef8 0036bcf4 0038baf0 0036b8f6 0034b5fc 002cb6f9 0023b7f6 0025b5fa

00000EA0 0028b4ff 0028b6ff 0029b7ff 001fb5ff 0015b2ff 0020aef7 003cb9ff 005acbf0

00000EA8 0042befa 002ab6fc 0012adff 0018acfc 001eacfa 001ea9fd 001ea7ff 001ba8fa

00000EB0 0018a8f4 0018a6f8 0018a4fd 0019a3fa 001aa1f7 0019a1f7 0018a0f8 0017a0f8

00000EB8 00169ff8 00159ef7 00149df7 00139cf6 00129bf6 00119af5 001099f4 001099f4

00000EC0 0054d1f8 0052d1f8 0051d0f9 004fcff9 004ecffa 004ccefa 004acdf9 0048ccf9

00000EC8 0045cbf9 0045caf9 0044c9f9 0043c8f9 0043c8f9 0042c7f9 0042c6f9 0041c5f9

00000ED0 0040c5fa 003fc4f9 003dc2f9 003bc1f9 003ac0fa 0038bff9 0037bff9 0036bef9

00000ED8 0034bef8 0035bcf6 0035baf5 0034b8f8 0033b6fc 002eb6f9 0029b6f7 0029b5f8

00000EE0 002ab4fa 002ab5fb 002ab5fc 002ab2f6 002aafef 001ba9f6 009bcfd9 006dcfe9

00000EE8 0074c7e4 0080c9dd 0019adfb 001cacf9 001fabf8 001fa9f9 001ea7fb 001ca7f9

00000EF0 001aa7f6 001aa5f8 001aa4fb 001aa3fa 001aa2f8 0019a1f8 0018a0f8 0017a0f8

00000EF8 00169ff8 00159ef7 00149df7 00139cf6 00129bf6 00119bf5 00119af5 00119af5

00000F00 0055d0f9 0053d0fa 0051d0fa 004fcffa 004dcffa 004bcefa 0049cdf9 0046ccf9

00000F08 0044caf8 0043caf8 0043c9f8 0043c8f9 0042c8f9 0042c7f9 0041c6f9 0041c6f9

00000F10 0040c5fa 003ec3f9 003dc2fa 003bc1fa 0039c0fa 0038bff9 0036bff9 0035bef9

00000F18 0034bdf8 0033bcf9 0033bafa 0032b9fb 0032b8fc 0030b7fa 002eb6f8 002db5f7

00000F20 002bb4f5 002bb4f6 002bb3f7 0029b2f9 0028b2fc 0030b2f7 0012a8fe 007fd4e1

00000F28 0058bbe6 0015aafb 001fadf8 0020acf7 0020aaf5 001fa9f6 001ea8f7 001da6f7

00000F30 001ca5f8 001ca4f8 001ba3f9 001ba3f9 001ba2f9 0019a1f9 0018a0f8 0017a0f8

00000F38 00169ff8 00159ef7 00149df7 00139cf6 00129bf5 00129bf5 00129bf5 00129bf5





00000F60 002bb4f5 002bb4f6 002bb3f7 002ab2f8 0029b2fa 002db6f5 001db5f6 00239bff

00000F68 0020b6f3 000cacfb 001eacf7 001fabf6 0020aaf5 001fa9f6 001ea8f7 001da6f7

00000F70 001ca5f8 001ca4f8 001ba3f9 001ba3f9 001ba2f9 0019a1f9 0018a0f8 0017a0f8

00000F78 00169ff8 00159ef7 00149df7 00139cf6 00129bf5 00129bf5 00129bf5 00129bf5





00000FA0 002bb4f5 002bb4f6 002bb3f7 002bb2f8 002bb1f8 0022aff9 0019acfa 001eadf7

00000FA8 0024aef3 0020adf5 001dabf6 001fabf6 0020aaf5 001fa9f6 001ea8f7 001da6f7

00000FB0 001ca5f8 001ca4f8 001ba3f9 001ba3f9 001ba2f9 0019a1f9 0018a0f8 0017a0f8

00000FB8 00169ff8 00159ef7 00149df7 00139cf6 00129bf5 00129bf5 00129bf5 00129bf5

00000FC0 0055d0f9 0053d0fa 0051d0fa 004fcffa 004dcffa 004bcefa 0049cdf9 0046ccf9

00000FC8 0044caf8 0043caf8 0043c9f8 0043c8f9 0042c8f9 0042c7f9 0041c6f9 0041c6f9

00000FD0 0040c5fa 003ec3f9 003dc2fa 003bc1fa 0039c0fa 0038bff9 0036bff9 0035bef9

137 / 142


00000FD8 0034bdf8 0033bcf9 0033bafa 0032b9fb 0032b8fc 0030b7fa 002eb6f8 002db5f7

00000FE0 002bb4f5 002bb4f6 002bb3f7 002bb2f8 002bb1f8 0022aff9 0019acfa 001eadf7

00000FE8 0024aef3 0020adf5 001dabf6 001fabf6 0020aaf5 001fa9f6 001ea8f7 001da6f7

00000FF0 001ca5f8 001ca4f8 001ba3f9 001ba3f9 001ba2f9 0019a1f9 0018a0f8 0017a0f8

00000FF8 00169ff8 00159ef7 00149df7 00139cf6 00129bf5 00129bf5 00129bf5 00129bf5

4.2.4.5 Decoded Image

The following is the decoded image that is represented by the XRGB data given in section 4.2.4.4.

Figure 20: Decoded image

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5 Security

5.1 Security Considerations for Implementers

None.

5.2 Index of Security Parameters

None.

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6 Appendix A: Product Behavior

The information in this specification is applicable to the following Microsoft products or supplemental software. References to product versions include released service packs:

Windows 7 Enterprise operating system with Service Pack 1 (SP1)

Windows 7 Ultimate operating system with Service Pack 1 (SP1)

Windows Server 2008 R2 Standard operating system with Service Pack 1 (SP1)

Windows Server 2008 R2 Enterprise operating system with Service Pack 1 (SP1)

Windows Server 2008 R2 Datacenter operating system with Service Pack 1 (SP1)

Microsoft Hyper-V Server 2008 R2 Service Pack 1

Windows 8 operating system

Windows Server 2012 operating system

Windows 8.1 operating system

Windows Server 2012 R2 operating system

Exceptions, if any, are noted below. If a service pack or Quick Fix Engineering (QFE) number appears with the product version, behavior changed in that service pack or QFE. The new behavior also applies to subsequent service packs of the product unless otherwise specified. If a product

edition appears with the product version, behavior is different in that product edition.

Unless otherwise specified, any statement of optional behavior in this specification that is prescribed using the terms SHOULD or SHOULD NOT implies product behavior in accordance with the SHOULD or SHOULD NOT prescription. Unless otherwise specified, the term MAY implies that the product does not follow the prescription.

<1> Section 1.5: Microsoft RDP 8.0 RemoteFX servers require that the TS_FRAME_ACKNOWLEDGE_CAPABILITYSET (section 2.2.1.3) be sent by the client.

<2> Section 1.5: Microsoft RDP 8.0 RemoteFX servers do not require that the connectionType field of the Client Core Data ([MS-RDPBCGR] section 2.2.1.3.2) be set to CONNECTION_TYPE_LAN (0x06).

<3> Section 2.2.2.1.3: Microsoft RDP 7.1 RemoteFX clients validate the width field.

<4> Section 2.2.2.1.3: Microsoft RDP 7.1 RemoteFX clients validate the height field.

<5> Section 2.2.3.1: Microsoft RDP 8.0 RemoteFX servers do not check for the special frameID value of 0xFFFFFFFF.


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7 Change Tracking

No table of changes is available. The document is either new or has had no changes since its last release.

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8 Index

A

Abstract data model 30 Applicability 11

C

Capability negotiation 11 Change tracking 140

D

Data model - abstract 30

E

Event processing 32 Examples - sample use case 51

F

Fields - vendor-extensible 11

G

Glossary 6

H

Higher-layer triggered events 32

I

Implementer - security considerations 138 Index of security parameters 138 Informative references 7 Initialization 32 Introduction 6

L

Local events 33

M

Message flows - overview 8 Messages

syntax 12 transport 12

N

Normative references 6

O

Overview message flows 8 RemoteFX codec 7

synopsis 7

P

Parameters - security index 138 Preconditions 10 Prerequisites 10 Product behavior 139

R

References informative 7 normative 6

Relationship to other protocols 10 RemoteFX algorithm

decoding 47 encoding 33 overview 33 stream 48

RemoteFX codec - overview 7

S

Sample use case 51 Security

implementer considerations 138 parameter index 138

Sequencing rules 32 Standards assignments 11 Syntax - messages 12

T

Timer events 33 Timers 32 Tracking changes 140 Transport 12 Triggered events 32 TS_FRAME_ACKNOWLEDGE_CAPABILITYSET packet

15 TS_FRAME_ACKNOWLEDGE_PDU packet 27 TS_RFX_BLOCKT packet 16 TS_RFX_CAPS packet 13 TS_RFX_CAPS_CONTAINER packet 12 TS_RFX_CAPSET packet 13 TS_RFX_CHANNELS packet 21 TS_RFX_CHANNELT packet 18 TS_RFX_CODEC_CHANNELT packet 17 TS_RFX_CODEC_QUANT packet 18 TS_RFX_CODEC_VERSIONS packet 20 TS_RFX_CODEC_VERSIONT packet 18 TS_RFX_CONTEXT packet 21 TS_RFX_FRAME_BEGIN packet 22 TS_RFX_FRAME_END packet 23 TS_RFX_ICAP packet 14 TS_RFX_RECT packet 19 TS_RFX_REGION packet 23 TS_RFX_SRVR_CAPS_CONTAINER packet 15

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TS_RFX_SYNC packet 20 TS_RFX_TILE packet 26 TS_RFX_TILESET packet 24

U

Use case example 51

V

Vendor-extensible fields 11 Versioning 11

[ms-rdprfx]: remote desktop protocol: remotefx codec …... · 2016. 6. 22. · programming...

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